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May 2025
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Intro Stats / AP Statistics Q&A Archive of May 13, 2025

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May 13 of 2025

Suppose sales for the past 6 months have been 98, 92, 109, 95, 96, and 105 Using a smoothing coefficient of 0.5, what is the exponentially smoothed value for the 3rd period? (please round your answer to 1 decimal place)

Suppose that a 95% confidence interval for the proportion of first-year students at a school who played in intramural sports is 35% plus or minus 5%. The margin of error for the confidence interval is 95% 35% 5% None of the above.

railfall in Brookings county is normally distributed. if the average number of inches in a year is 22.5, with a standard diviation of 3, what is the probobility that the country gets less than 20 inches of rainfall in a year

The compressive strength of samples of cement can be modelled by a normal distribution a best value of 6,000 kg/cm2 and variance of 10,000 kg/cm2. (a) Find the probability that a sample’s strength is less than 6,250 kg/cm2.

The goals scored by the starting defenders on a soccer team is 1, 2, 0, and 3. Use a sample size of 3. Find mean and standard deviation List all samples Mean and standard deviation of eh sampling distribution

A distribution of PACER test scores (high scores better) has a mean of 43 laps and a standard deviation of 3 laps. A Z-score of + 2.50 represents which raw score? Group of answer choices 20.5 laps 35.5 laps 50.5 laps 65.5 laps

Suppose that a random sample size of 100 is to be selected from a population with mean 40 and standard deviation 8. What is the probability that a sample mean will be less than 40.8? Round your answer to 3 decimal places?

If, in a one-tail hypothesis test where Upper H0 is only rejected in the upper tail, the p-value=0.566 and Z STAT Z =−0.17, what is the statistical decision if the null hypothesis is tested at the .03 level of significance?

What measurement scale is used in the following example? A satisfaction survey of a local restaurant: 1=Very Satisfied 2= Satisfied 3= Somewhat Satisfied 4=Not Satisfied Question 18 options: Interval Nominal Ordinal Ratio

We are foerfomring the following paired test: Ho: HD=0 versus Ha: HD≠0. The significance level is 5%. The test statistic is equal to -2.192. The number of pairs is 10. What is your conclusion. Use rejection region approach

Part D: About what body temperature would the top 1% of healthy adults have? Use the DCMP Normal Distribution tool and round your answer to 2 decimal places. Make sure to include appropriate units. At least degrees

Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.09 cm.

A successful basketball player has a height of 6 feet 55 inches, or 196196 cm. Based on statistics from a data set, his height converts to the z score of 3.023.02. How many standard deviations is his height above the mean?

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Upper H 0H0: muμ equals= 105105 Upper H 1H1: muμ not equals≠ 105

Suppose the correlation between height and weight for adults is r= +0.40. What proportion (or percent) of the variability in weight can be explained by its relationship with height? Group of answer choices 60% 40% 84% 16%

For a unit change in the first independent variable with all other things being held constant, what change can be expected in the dependent variable in the multiple regression equation: Ŷ=5.2+6.3X1-7.1X2 -7.1 +6.3 +5.2 +4.4

Four different types of cellular service are available in a small town: T-Mobile, Verizon, AT&T, and Cricket. Explain why the type of cellular service is an example of a categorical variable. Choose the correct answer below.

The line of best fit through a set of data isy=-51.154+1.259x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 80? y = Round to 1 decimal place.

Suppose that 6 female and 4 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 10 finalists, what is the probability of selecting at least 4 females.

53% of all persons in the US population have at least some college education choose 10 persons a random find each probability around your answer to at least three decimal places exactly 1/2 have some education

We are foerfomring the following paired test: Ho: ud=0 versus Ha: ud>0. The significance level is 1%. The test statistic is equal to 4.052. The number of pairs is 15. What is your conclusion. Use rejection region approach

Systematic sample bias tends to occur if a sample is chosen by a ____________. Question 43 options: a) cluster sampling methods b) stratified sampling method c) simple random sampling method d) quota sampling method

In Question 6, you calculated the probability that an NBA player with a 77.8% free throw average makes at least 7 free throws. What is the probability of Stephen Curry making at least 7 free throws?

A researcher wishes to estimate the number of households with two cars how large a sample is needed in order to be 95% confident that the sample proportion will not differfrom the true proportion by more than 3%

In order NOT to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be _____. Question 26 options: no more than 5 less than 2 at least 10 at least 5

Assume that X has a normal distribution with the specified mean and standard deviation. μ=15; σ=2.5 Find the 23rd percentile, that is the cutoff value of the top 77%. Round z-score and your answer to 3 decimal places

If Upper X overbar equals 95X=95, Upper S equals 13S=13, and n equals 16n=16, and assuming that the population is normally distributed, construct a 99 %99% confidence interval estimate of the population mean, muμ.

Consider the experiment of flipping a fair coin until we get two heads (not necessarily consecutive). Let X be the total number of flips we had to make. Let Y be the number of tails we got. Find E[X∣Y=y] where y=9.

Recently, six single-family homes in Corpus Christi in Texas sold at the following prices (in $1,000s): 574, 444, 694, 538, 635, 617. Find a 95% confidence interval for the mean sale price in Corpus Christi.

The expected number of hurricanes in a year is 6.4. What is the probability of more than four in the next six months? In other words, what is the probability of five or more in the next six months?

25 pet owners where asked if they live alone or not and what type of pet they had. Live alonelive with othersCat35Dog57Other23 Find the probability a person selected at random does not own a dog. [____] Round to 2 d.p.

Assume that X has a normal distribution with the specified mean and standard deviation. μ=4; σ=0.8 Find the 96th percentile, that is the cutoff value of the top 4%. Round z-score and your answer to 3 decimal places.

A random sample of 10 hinges is selected from a steady stream of product from a punch press, and the proportion non-conforming is 0.20, what is the probability of less than 2? (Binomial distribution, ±0.0002)

Determine the t critical value for a two-sided confidence interval in each of the following situations: a. Confidence level 5 95%, df 5 10 b. Confidence level 5 95%, df 5 15 c. Confidence level 5 99%, df 5 15

9. Coffee Bliss claims that the average customer satisfaction rating across all stores is at least 8.0. Use a significance level of 0.05 to test this claim using the sample data. sigma= .61 xbar= 7.81 mu=8.0 n=50

________ is finding that a systematic association exists between the two variables of interest in the population and is a statistical issue. Group of answer choices Direction Strength of association Absence Presence

A survey of 692 students found that 231 were Democrats, 169 were Republicans, 240 were independent, and 52 belonged to another smaller party. What is the frequency and relative frequency of Republicans from that sample?

Find the critical values, chi Subscript 1 minus alpha divided by 2 Superscript 2χ21−α/2 and chi Subscript alpha divided by 2 Superscript 2χ2α/2, for 95% confidence and nequals=12. Round to three decimal places.

Find the value of the test statistic z using z = . A claim is made that the proportion of ̂ \sigma p students that work is greater than 0.80. The sample statistics include 120 students with 82% saying they work.

Using the binomial probability distribution that you just constructed in the last part, calculate the following probabilities: P(x >1) = Blank 1 P(x ≤ 4) = Blank 2 P(4 < x ≤ 7) = Blank 3

Assume that X has a normal distribution with the specified mean and standard deviation. μ=18; σ=1.5 Find the 42nd percentile, that is the cutoff value of the top 58%. Round z-score and your answer to 3 decimal places

After finding your best-fitting model, what should you do next: Use the model to make predictions and estimates Check the assumptions on the residuals Stop, you're done Assess the fit statistics for practical utility

Assume that X has a normal distribution with the specified mean and standard deviation. μ=5; σ=1.4 Find the cutoff values of the middle 29%. Round your answers to 3 decimal places. Low: x1=3.355Incorrect High:

Annie Li wants to determine if two categorical variables are independent. What kind of test should CMO Li run? Question 18 options: Test of R squared Null hypothesis test P Test Cross tabulation and Chi Square Test

a pizza delivery driver, always trying to increase tips, runs an experiment on his next 40 deliveries. He flips a coin to decide whether or not to call... what are the units and how did the driver randomize treatments

Part A: The National Sleep Foundation recommends an average of 7–9 hours of sleep for young adults.1 Estimate the percentage of college students who meet these guidelines. Round your answer to the nearest hundredth.

Y has a distribution function F(y) = 0,y ≤ 0, y16 ,0 < y < 4, y264 , 4 ≤ y < 8,1,y ≥ 8. Find the mean and variance of Y. (Round your answers to four decimal places.) E(Y)= V(Y)=

Select all options that apply. Probability means and event that: Question 1 Select one or more: A. is expected to occur or happen. B. has occurred or happened. C. may occur or happen. D. will never occur or happen.

X Y The following X and Y scores from a research study produced SS X = 2 and SP = 8. What is the regression equation for predicting Y? 1 2 2 3 3 10 a. Y = 0.25X + 4.5 b. Y = 4X + 3 c. Y = 4X – 3 d. Y = 0.25X – 4.5

Determine the sample size required to estimate the mean score on a standardized test within 2 points of the true mean with 99% confidence. Assume that s = 15 based on earlier studies. Group of answer choices

A jar has 20 red jelly beans and 40 black jelly beans. If you pick a red jelly bean and put it back, what are the odds of picking a black jelly bean next? Question 47 options: C) 40/60 A) 20/40 B) 20/60 D) 1 (100%)

Explain why “there is a 95% chance that the parameter falls between the lower and upper bound” doesn’t mean the same thing as “we are 95% confident that the parameter falls between the lower and upper bound”

A study of 415 kindergarten students showed that they have seen on average 5000 hours of T.V. suppose the sample standard deviation is 900. a. Find the 95% confidence interval of the mean time for all students.

If a survey demonstrates that a presidential candidate has an approval rating of 53% with a margin of error of 3%, this means that there is a 5% chance that the true approval rating is either below 50 or above 56.

Construct a 90% confidence interval for σ2 (population variance) for the following sample: {12, 13, 12, 11, 15, 12, 13} a) (.846, 6.143) b) (.913, 4.407) c) (1.238, 5.735) d) (.771, 5.941)

Which of the following respondent errors is the most unlikely to occur when Skechers has a mall-intercept survey performed to determine opinions and uses of footwear Nonresponse Falsehoods Distractions Guessing

If the test is done at a 5% level of significance, the null hypothesis should Question 8 options: not be rejected be rejected Not enough information is given to answer this question None of the answers is correct

redict the mean quality for a red wine that has 1010% alcohol. Construct a 95% confidence interval estimate and a 95% prediction interval. Predict the mean quality for a red wine that has 1010% alcohol.

Given the population has σ=2.89. Using the data given on slide 15 and formula from slide 14, what will the standard error of the mean be given a sample size of 400? Group of answer choices 0.134 0.145 0.151 0.129

Consider a pair of random variables X,Y each of which take on values on the set A={1,2,…,N} where N=48. The joint distribution of X,Y is a constant: PX,Y(x,y)=1N2forallx,y Find the probability P[X=Y].

If two events are mutually exclusive (can’t happen at the same time), what is the probability that one or the other occurs? Group of answer choices 0 0.5 Can’t be determined from the information provided 1.0

2) Using your calculator and the best of the four methods above, find a model, H(t), that estimates the height of the projectile above ground t seconds after it was shot. ROUND TO TWO DECIMAL PLACES.

Show that the exponential distribution, the normal distribution with mean and known variance , and the Poisson distribution with mean , belong to the linear exponential family of distributions.

What does the correlation of r = 0.69 indicate in the corrected data for Height and Foot Length? A weak connection A somewhat strong positive linear relationship A strong negative linear relationship No connection

If a one-tail F test (95% confidence) with ten samples yielded a variance of nine, and nine samples yielded a variance of four, what F critical value would be used? Group of answer choices 3.14 3.23 3.44 3.39

An interaction a. occurs when there are two main effects. b. can only occur when there are no main effects. c. occurs when there is only one main effect. d. doesn't depend on the significance of the main effects

A ______ is a sample in which elements are sampled in proportion to their representation in the population. Question 34 options: a) quota sample b) cluster sample c) snowball sample d) convenience sample

Steph Curry, the best free throw shooter in the NBA this past season, makes 93.3% of his free throws. lf steph takes12 free throws in a game, what is the probability he makes at least 11 of them?

The mean monthly rent of students at Oxnard University is $910 with a standard deviation of $216. (a) John’s rent is $1,355. What is his standardized z-score? Note: Round your answer to 3 decimal places.

A ______ is a probability sample in which elements are divided into groups based on a characteristic. Question 26 options: a) systematic sample b) simple random sample c) cluster sample d) stratified sample

Indicate whether the value given in bold print is a statistic or a parameter. Of 10 students sampled from a class of 200, 8 (80%) said they would like the school library to have longer hours. statistic parameter

Compare two probability distributions, a gamma distribution with parameters α=5, β=3, and a normal distribution with the same mean and standard deviation as the gamma. Which of the following is true?

A random sample of 97 light bulbs had a mean life of x=471 hours. Assume that o=34 hours. Construct an appropriate (t or z) 90% confidence interval for the mean life, μ, of all light bulbs of this type.

Let Y be χ2(n). Use the central limit theorem to demonstrate that W = (Y−n)/√2n has a limiting cdf that is N(0,1). Hint: Think of Y as being the sum of a random sample from a certain distribution.

Which hypothesis applies to test the claim that the population mean monthly cell phone bill is at least $125. None apply and none can be used Ha: u ≥ 125 Ho: u ≥ 125 All apply and any can be used Ha: u > 125

IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2%? The lower 10%? The upper 60%? The middle 95%?

In a study, a group of mice are put into a maze with multiple pass and options. The time it takes for each mouse to complete. The maze in the path taken are recorded. This is an example of an what kind of study

In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 41 people and she concluded 7 people had blue eyes. Calculate the z-score. Multiple Choice 0.1707 0.0710 1.5097 0.6686

A set of X and Y scores has M X X Y Y = 4, SS = 10, M = 5, SS = 40, and SP = 20. Which is the regression equation for predicting Y from X? a. Ŷ = 0.25X + 4 b. Ŷ = 2X – 3 c. Ŷ = 0.5X + 3 d. Ŷ = 4X – 9

If you were to toss a die a hundred times, add up the values of each toss and calculate the mean, and then do this 50 times, the distribution of your sample of 50 means would be normal, as in bell-shaped.

A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the statistical significance of the correlation?

When planning a new voter survey, how large must n be so that the error in measuring the number of voters planning to vote for Proposition 5 will be at most 3 percentage points, with 99% confidence?

Conduct a hypothesis test at the 1% significance level in order to determine if β1 differs from −1,000. Note: Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.

Find the population variance and standard deviation for the following population. Round the answers to at least two decimal places. 19 9 18 8 28 29 Send data to Excel The population variance is

calculate the mean, median, mode, range and standard deviation of the following data and determine unusual values. 1, 3,5,7,9,9,9,11,13,15,29

QUESTION 2: An Independent Samples t test produces the following results: t(29) = 5.15, p < .05. 1) How many participants were included in the study? 2) What was the decision abut the Null Hypothesis?

Find Standard Deviation for the data given. (choose closest answer). Round your answer to two digits after decimal. xf13344551657493 Group of answer choices 2.35 2.40 none of these answers 5.75

The difference between the observed (actual value of y) and predicted value of ŷ from a regression model is called the Question 8 options: 1) Correlation 2) Variance 3) Remainder 4) Residual or error

According to a study, what percentage of college students had, at some point, acted deceptively in their reported number of prior sexual partners? Multiple Choice 15 percent 60 percent 34 percent 72 percent

The distribution of passenger vehicle speeds (mph) traveling on the Interstate 5 Freeway (I-5) in California can be modeled using a N(72.6, 22.8) distribution. What percent of cars speed over 80 mph?

Look at the spinner to answer the following: Event A: Get an odd number less than 12. The elements of A are: Event B: Get a prime number greater than 8. The elements of B are: Are the events disjoint?

Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 5 different colors. Step 2 of 2: How many selections of collars are possible if repetitions of colors are not allowed?

In a recent survey of dog owners, it was found that 1003, or 34%,of the owners take their dogs on vacation with them. Find the number of dog owners in the survey who do not take their dogs on vacation.

The coefficient of multiple determination, adjusted r square, reports the proportion of the variation in Y that is explained by the variation in the set of independent variables. True False Clear selection

Designs that do not control for extraneous factors by randomization are called ________. true experimental designs quasi-experimental designs statistical designs preexperimental designs extraneous designs

Suppose a regional manager believes that urban stores have higher average weekly sales than suburban stores. Test this claim using a two-sample t-test using alpha = 0.05.. sigma= .61 xbar= 7.81 n=50

An analysis of variance is used to evaluate the mean differences for a research study comparing four treatment conditions and seven scores in each sample. How many total degrees of freedom are there?

A sample of n=7 online students was selected and the distance, in miles, between each student's home and Columbia was recorded. The results were:1, 1, 2, 3, 4, 9, 95The upper quartile is __________ miles.

our survey found that 56% of college students live on campus and 62% have a meal plan program, and 42% have both. in this ecpiernment what would be the denominator of the fraction if you wanted to find

A 5-card hand is dealt from a standard 52-card deck. If the hand contains at least one Ace, you win $5. Otherwise you lose $2. What is the expected value of the game? Is it a fair game?

Let Y be 2(n). Use the central limit theorem to demonstrate that W = (Yn)/2n hasa limiting cdf that is N(0,1). Hint: Think of Y as being the sum of a random sample from a certaindistribution

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates the Y intercept. for each unit increase in X, Y increases by 20. for each unit increase in Y, X increases by 20. none of the above.

Assume that you plan to use a significance level of alpha=0.05 to test the claim that p1=p2. Use the given sample sizes and numbers of successes to find the p-value for the hypothesis test.

Evaluate a seasonally adjusted trend forecasting model. Note: Round all your answers to 4 decimal places except "Absolute percent error" answers which should be rounded to 2 decimal places.

Compute the least-squares regression equation for the given data set. Round the slope and y -intercept to at least four decimal places. x 5 1 6 7 4 y 2 5 6 1 7 Send data to Excel

In a random sample of 1000 voters, 538 favor candidate A. What is a 99% confidence interval for p, the proportion of all voters who favor A?

On a placement examination, Rick scored lower than 1128 of the 12,750 students who took the exam. Find the percentile, rounded to the nearest percent, for Rick's score. Rick was at the st percentile.

In testing if the diameter of a tree is significant, state the null and alternative hypothesis Ho: β1 = 0 vs. Ha: β1 not= 0 Ho: β1 not= 0 vs. Ha: β1 = 0 Ho: β2 = 0 vs. Ha: β2 not= 0 none of these

suppose the area under the normal curve to the right of x=4620 is 0.0228. provide an interpretation of this result. select the correct choice below and fill in the answer box to complete your choice.

Compute the least-squares regression equation for the given data set. Use a TI- calculator. Round the slope and -intercept to at least four decimal places. X: 4, 1, 3, 6, 7 Y: 3, 1, 7, 2, 5

Part D: About what body temperature would the top 1% of healthy adults have? Use the DCMP Normal Distribution tool and round your answer to 2 decimal places. Make sure to include appropriate units.

Suppose that a random sample of size 100 is to be selected from a population with mean of 50 and standard deviation of 8. What is the probability that a sample mean will be greater than 50.8

Identify a source of bias and explain its effect? To determine opinion of voter support for a downtown renovation project, a survey randomly questioned people working in various downtown businesses.

a random sample of 35 shoppers showed that they spend an average of $24 per visit at the bookstore. the standard deviation of the population is $3.89 find the 98% confidence interval of the mean

Researcher would like to understand if increases in employee loyalty increases productivity. What kind of relationship do we assume? correlational regressional negative regression cause and effect

• Use the StatCrunch T-calculator to find the P-value. Note that the T-calculator requires you to calculate and enter degrees of freedom and a T-score. What is the P-value for this test?

You are performing a two-way ANOVA examining gender and 2 treatment conditions. You get a significant main treatment effect. You must now do a post hoc test to discover where the differences lie.

(a) For the alternative value p = 0.21, compute 𝛽(0.21) for sample sizes n = 400, 1600, 12,100, 40,000, and 90,000. (Round your answers to four decimal places.)

Rachel is in a bowling league, and her bowling scores have an average of 202 with a standard deviation of 19. Find the probability that a randomly selected bowling score is between 165 and 175.

Research question: Does wearing red influence the outcome of physical contestsn 457 total matches, the competitor wearing red won 248 times and the competitor wearing blue won 209 times

A sample of 37 AA batteries had a mean lifetime of 584 hours. A 95% confidence interval for the population mean was 579.2 < μ < 588.8. Which statement is the correct interpretation of the results?

In a multiple regression analysis, SSR = 1,000 and SSE = 200. The F statistic for this model is _____. a. 5.0 b. Not enough information is provided to answer this question. c. 800 d. 1,200

The number of people who eat margarine in Maine have lower divorce rates. What is the correlation called? Question 3 options: R project correlatioins Positive predictive correlation Spurious Causal

A card is drawn at random from a standard 52-card deck. Events D and E are defined as D = the drawn card is a diamond. A). Find P(D) = B). Find P(D ∩ E) = E). Are D and E independent? Why?

7. The average price of a pound of sliced bacon is $3.05. Assume σ = $0.36. If a random sample of 40 1-lb packages is selected, find the probability that the mean price will be less than $3.00.

Suppose we used 𝛼 = 10 and 𝛽 = 5 in our beta prior and observed the first success on trial 6. What is the conclusion of a Bayesian test for 𝐻2 : 𝑝 < .4 versus 𝐻3 : 𝑝 ≥ .4?

In simple linear regression analysis, if the residual sum of squares is zero, then the coefficient of determination r 2 must be Group of answer choices −1 0 between −1 and zero 1 between −1 and 1

Suppose the correlation between height and weight for adults is r= 0.40. What proportion (or percent) of the variability in weight can be explained by its relationship with height? 40% 84% 16% 60%

Calculate the sample standard deviation of the test scores. Test ScoresFrequency40 - 49150 - 59360 - 691070 - 79680 - 89890 - 995 Round your answer to two decimal places. s =

Given the following information: P(A) = 0.49 P(B) = 0.32 P(A and B) = 0.14 P(B given A) = 0.3 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 11.20. Question Blank 18 of 18

A group of 100 students at a women's college have gathered to mark the start of their senior year. How many of these students have experienced at least one eating disorder? a. 18 b. 9 c. 12 d. 5

A newsletter publisher believes that more than 75%75% of their readers own a personal computer. Is there sufficient evidence at the 0.010.01 level to substantiate the publisher's claim?

At a 0.05 level of significance, if the p-value is 0.999, the conclusion is to reject the null hypothesis. none of the above. fail to reject the null hypothesis. accept the alternative hypothesis.

Given that the sample proportion 0.4, with a confidence interval, 0.07. How would a confidence interval look? Group of answer choices 0.42 to 0.50 0.33 to 0.47 0.32 to 0.33 cannot determine

Consider an infinite i.i.d. sequence Bernoulli random variables Bk,k=1,2,… where each random variable takes on the value 1 probability is p=0.63. Find the probability P[B3=1,B2=0∣B1=0]

Which of the following is the probability that subjects do not have the disease, but the test result is positive? Group of answer choices Base rate Disease rate False positive rate Miss rate

A random sample of 97 light bulbs had a mean life of hours. Assume that Construct an appropriate (t or z) 90% confidence interval for the mean life, μ, of all light bulbs of this type.

if you want to be 99% confident of estimating the population mean to within a sampling error of ±35 and the standard deviation is assumed to be 210, what sample size is required?

A two-factor ANOVA produces an F-ratio for factor A with df = 4, 27 and an F-ratio for factor B with df = 3, 36. Which of the following describes the experiment producing these F-ratios?

You measure the length r of the radius of a cylinder 8 times; each measurement has an uncertainty of Dr = 0.3mm. What is the uncertainty Δr¯, in mm, of the mean r¯ of the measurements?

If there is a very strong negative correlation between two variables, then the correlation coefficient will be _____. a. very close to –0.5 b. very close to –1 c. exactly 0 d. very close to 1

All other things being held constant, what is the change in the dependent variable for a unit change in X 1 for the multiple regression equation: Y = 6.3 X 1 − 7.1 X2 + 5.2? −7.1 +5.2 +6.3 +4.4

Consider the following regression equation: Ŷ = 30 + 8X. If SSE = 1,260 and SS Total = 1,400, then the correlation coefficient is _____________blank. Multiple Choice −0.38 +0.316 −0.316 +0.38

In a multiple regression model, the error term \epsi is assumed to _()_(_())_(_()). a. have a standard deviation of 1 b. be normally distributed c. have a variance of 0 d. have a mean of 1

A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey. 2 orders are made, Find the probability that at least 1 is Grey. Round to 4 d.p.

A distribution of test scores (low scores better) has a mean = 3200 and standard deviation = 275. Convert a z-score of - 1.44 into a raw score. Group of answer choices 2804 2925 3472 3596

f we use the chiχsquared2 method of analysis to test for the differences among 4 proportions, what is the degrees of freedom equal to? Question content area bottom Part 1 A. 1 B. 5 C. 4 D. 3

A researcher wants to determine if there is a significant difference between the average reading scores of two groups of students. Which hypothesis test should be used for this analysis?

Find the critical value F0 for a right-tailed test using α = 0.01, degrees of freedom in the and degrees of freedom in the denominator = 20. Group of answer choices 4.94 3.09 5.82 25.58

1. A steel plate contains 20 bolts. Assume that five bolts are not torqued to the proper limit. Four bolts are selected at random, without replacement, to be checked for torque.

The Observed Variance of a test is 40 and the Error Variance is 12. What is the reliability of this test? Group of answer choices .30 .52 .70 Cannot determine from the given information.

An urn contains 3 white and 5 red balls. Two balls are drawn in succession without replacement. If the second ball is white, what is the probability of the first ball was white?

Give a 90% confidence interval, for μ1-μ2 given the following information. n1=50, x¯1=2.75, s1=0.82 n2=25, x¯2=2.85, s2=0.5 ± Use Technology Rounded to 2 decimal places.

Researchers have identified ______ species and four varieties of Coca that are known to have been used prehistorically and continue in use today. Group of answer choices four two three one

An Independent Samples t test produces the following results: t(29) = 5.15, p < .05. 1) How many participants were included in the study?What was the decision abut the Null Hypothesis?

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. critic rating movies on a scale from 1 star to 8 stars

Determine the sample size required to estimate the mean score on a standardized test within 2 points of the true mean with 99% confidence. Assume that s = 15 based on earlier studies

Bara Research Group conducted a survey about. church attendance. a. Use the sample data to determine whether church attendance is independent of age. Use a .05 level of significance.

You have a 1414-sided dice. Your friend Nasir has three favorite numbers: 7, 4, and 11. What is the probability that you roll one of his favorite numbers? Enter your answer as a fraction

Let f(x, y) = 24xy 0 … x … 1, 0 …y…1, 0…x+y…1 and let it equal 0 otherwise. (a) Show that f(x, y) is a joint probability density function. (b) Find E[X].

1. 5 points) From your regression Excel output, find the estimated y-intercept and estimated slope. Round your answer to three decimal places. · y-intercept: · slope:

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=11, p=0.2, x≤2

if you have one quantitiative predictor and one qualitative predictor with two levels in your data and you get a p value of 0.002 for your quadratics test, the next step is to conduct a

Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below in a poll conducted by a certain research center

This data is from a sample. Calculate the standard deviation and variance. x43.846.83420.819.91743.321.348.1 Round answers to two decimal places. Standard Deviation = Variance =

9. Coffee Bliss claims that the average customer satisfaction rating across all stores is at least 8.0. Use a significance level of 0.05 to test this claim using the sample data.

For 300 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor.

A newsletter publisher believes that under 29%29% of their readers own a personal computer. Is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim?

Find the mean and standard deviation for each binomial random variable: n = 32, ππ = 0.60 Note: Round your mean value to 2 decimal places and standard deviation to 4 decimal places.

In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure). Lower and upper limit 95% confidence interval

Find the mean and standard deviation for each binomial random variable: n = 70, ππ = 0.40 Note: Round your mean value to 2 decimal places and standard deviation to 4 decimal places.

Consider two independent continuous random variables X1,X2uniformly distributed over [0,1]. Let Y=X1+X2 with probability density function fY(y). Find fY(y) where y= 1.26.

There are 12 books on a shelf, all with different heights, if three books are chosen at random, what is the probability that one of the books chosen is the tallest book on the shelf?

You observe that individuals in a known strength training program lose weight. You are performing an experiment testing the effect of a new type of strength training on weight loss.

Let 𝑁 have a Poisson distribution with mean Λ. Let Λ have a gamma distribution with mean 1 and variance 2. Determine the unconditional probability that 𝑁 = 1.

The mean is more than the median _______ Question 62 options: a) when the data is skewed to the left b) when the data is skewed to the right c) never d) when the data is symmetric

The central limit theorem says that the sum of a group of independent, identically distributed random variables approaches a distribution as the number of random variables increases.

A charity organization is holding a raffle. Each ticket costs $9. One winner will win the $1300 prize. If 1101 people buy a ticket for the raffle, what is a player's expected outcome?

A fair die is rolled once. If it lands six, you win $6. However, you lose $2 if it does not land on six. Let M denote the amount of money you win. Find expected value of M

Suppose that a random sample of size 100 is to be selected from a population with mean 40 and standard deviation 8. What is the probability that a sample mean will be less than 40.8

In multiple regression analysis, the high correlation among the independent variables is termed as Group of answer choices multicollinearity multiple regression interaction linearity

Calculate the probability of single and multiple events. In a 52-card deck, what is the probability that you would draw a 4 card in a single draw? A.) 0.06 B.) 0.04 C.) 0.08 D.) 0.02

Question 18 options: Use a simple exponential smoothing model (SES) with alpha of .4. The forecast for period 8 is? period Y 1 50 2 85 3 65 4 90 5 88 6 90 7 110 8

If we want to compare more than 2 segments statistically in EXCEL, what function would we use? Question 17 options: ANOVA Square of the sums Anova and square of the sums 2 Sample Test

Research the rights of an unborn child and parents in the Commonwealth of Massachusetts. What did you find out. Support your findings with other research. Include work cited

a candidate who understands that in a two person race the person closer to the center of the voter distribution will win is likely to ? first take polls or speak in specific terms

If there are 49 data points in a set of data, what is the number of degrees of freedom? (Assume simple linear regression. Enter an exact number as an integer, fraction, or decimal.)

A SOW is required in all projects. Select one: A. The statement is always false B. The statement is sometimes false C. The statement is always true D. The statement is sometimes true

The author selected 100 subjects from the California health survey and 52 were female. Construct a 95% confidence interval for the percentage of adult Californias that are female

Consider the following probability distribution of the random variable X. xiP(X = xi)00.310.120.230.4 The expected value of X is __________blank. Multiple Choice 1.3 1.7 0.7 2.3

A distribution of test scores (high scores better) has a mean = 87 and standard deviation = 24. A T-score of 35 represents which raw score? Group of answer choices 51 72 102 123

in excel how to determine the beta distribution for the cost of an accident for 500 accidents with a beta of 3 and an alpha of 1.5, minimum cost of $500 and maximum cost of $20000

Consider an experiment that consists of rolling a six–sided die with a sample space S = {1, 2, 3, 4, 5, 6}. The probability of obtaining an even number is {2, 4, 6}. true or false?

Find the probability that the weight of the toffees in a box is less than one half12 of a poundpound if it is known that creams constitute one half12 of the weight.

The value of an independent variable from the prior period is referred to as a _____. Group of answer choices lagged variable dummy variable continuous variable categorical variable

If you think there is no relationship between gun ownership and crime, and your statistical test shows a non-zero coefficient with a p-value of .03, what should you conclude?

Consider the following data. 3,14,12,2,12,10,3 Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

The sum of the squared difference of each data point and the mean of all data points is larger than a similar sum using any value other than the mean. True or false (and why)

If the correlation coefficient (r) equals 0.61, it indicates that the proportion of the variation in the dependent variable explained by the variation in the independent variable is

Suppose sales for the past 6 months have been 98, 92, 109, 95, 96, and 105 Using a smoothing coefficient of 0.5, what is the exponentially smoothed value for the 3rd period? (please round your answer to 1 decimal place)

Suppose that a 95% confidence interval for the proportion of first-year students at a school who played in intramural sports is 35% plus or minus 5%. The margin of error for the confidence interval is 95% 35% 5% None of the above.

railfall in Brookings county is normally distributed. if the average number of inches in a year is 22.5, with a standard diviation of 3, what is the probobility that the country gets less than 20 inches of rainfall in a year

The compressive strength of samples of cement can be modelled by a normal distribution a best value of 6,000 kg/cm2 and variance of 10,000 kg/cm2. (a) Find the probability that a sample’s strength is less than 6,250 kg/cm2.

The goals scored by the starting defenders on a soccer team is 1, 2, 0, and 3. Use a sample size of 3. Find mean and standard deviation List all samples Mean and standard deviation of eh sampling distribution

A distribution of PACER test scores (high scores better) has a mean of 43 laps and a standard deviation of 3 laps. A Z-score of + 2.50 represents which raw score? Group of answer choices 20.5 laps 35.5 laps 50.5 laps 65.5 laps

Suppose that a random sample size of 100 is to be selected from a population with mean 40 and standard deviation 8. What is the probability that a sample mean will be less than 40.8? Round your answer to 3 decimal places?

If, in a one-tail hypothesis test where Upper H0 is only rejected in the upper tail, the p-value=0.566 and Z STAT Z =−0.17, what is the statistical decision if the null hypothesis is tested at the .03 level of significance?

What measurement scale is used in the following example? A satisfaction survey of a local restaurant: 1=Very Satisfied 2= Satisfied 3= Somewhat Satisfied 4=Not Satisfied Question 18 options: Interval Nominal Ordinal Ratio

We are foerfomring the following paired test: Ho: HD=0 versus Ha: HD≠0. The significance level is 5%. The test statistic is equal to -2.192. The number of pairs is 10. What is your conclusion. Use rejection region approach

Part D: About what body temperature would the top 1% of healthy adults have? Use the DCMP Normal Distribution tool and round your answer to 2 decimal places. Make sure to include appropriate units. At least degrees

Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.09 cm.

A successful basketball player has a height of 6 feet 55 inches, or 196196 cm. Based on statistics from a data set, his height converts to the z score of 3.023.02. How many standard deviations is his height above the mean?

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Upper H 0H0: muμ equals= 105105 Upper H 1H1: muμ not equals≠ 105

Suppose the correlation between height and weight for adults is r= +0.40. What proportion (or percent) of the variability in weight can be explained by its relationship with height? Group of answer choices 60% 40% 84% 16%

For a unit change in the first independent variable with all other things being held constant, what change can be expected in the dependent variable in the multiple regression equation: Ŷ=5.2+6.3X1-7.1X2 -7.1 +6.3 +5.2 +4.4

Four different types of cellular service are available in a small town: T-Mobile, Verizon, AT&T, and Cricket. Explain why the type of cellular service is an example of a categorical variable. Choose the correct answer below.

The line of best fit through a set of data isy=-51.154+1.259x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 80? y = Round to 1 decimal place.

Suppose that 6 female and 4 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 10 finalists, what is the probability of selecting at least 4 females.

53% of all persons in the US population have at least some college education choose 10 persons a random find each probability around your answer to at least three decimal places exactly 1/2 have some education

We are foerfomring the following paired test: Ho: ud=0 versus Ha: ud>0. The significance level is 1%. The test statistic is equal to 4.052. The number of pairs is 15. What is your conclusion. Use rejection region approach

Systematic sample bias tends to occur if a sample is chosen by a ____________. Question 43 options: a) cluster sampling methods b) stratified sampling method c) simple random sampling method d) quota sampling method

In Question 6, you calculated the probability that an NBA player with a 77.8% free throw average makes at least 7 free throws. What is the probability of Stephen Curry making at least 7 free throws?

A researcher wishes to estimate the number of households with two cars how large a sample is needed in order to be 95% confident that the sample proportion will not differfrom the true proportion by more than 3%

In order NOT to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be _____. Question 26 options: no more than 5 less than 2 at least 10 at least 5

Assume that X has a normal distribution with the specified mean and standard deviation. μ=15; σ=2.5 Find the 23rd percentile, that is the cutoff value of the top 77%. Round z-score and your answer to 3 decimal places

If Upper X overbar equals 95X=95, Upper S equals 13S=13, and n equals 16n=16, and assuming that the population is normally distributed, construct a 99 %99% confidence interval estimate of the population mean, muμ.

Consider the experiment of flipping a fair coin until we get two heads (not necessarily consecutive). Let X be the total number of flips we had to make. Let Y be the number of tails we got. Find E[X∣Y=y] where y=9.

Recently, six single-family homes in Corpus Christi in Texas sold at the following prices (in $1,000s): 574, 444, 694, 538, 635, 617. Find a 95% confidence interval for the mean sale price in Corpus Christi.

The expected number of hurricanes in a year is 6.4. What is the probability of more than four in the next six months? In other words, what is the probability of five or more in the next six months?

25 pet owners where asked if they live alone or not and what type of pet they had. Live alonelive with othersCat35Dog57Other23 Find the probability a person selected at random does not own a dog. [____] Round to 2 d.p.

Assume that X has a normal distribution with the specified mean and standard deviation. μ=4; σ=0.8 Find the 96th percentile, that is the cutoff value of the top 4%. Round z-score and your answer to 3 decimal places.

A random sample of 10 hinges is selected from a steady stream of product from a punch press, and the proportion non-conforming is 0.20, what is the probability of less than 2? (Binomial distribution, ±0.0002)

Determine the t critical value for a two-sided confidence interval in each of the following situations: a. Confidence level 5 95%, df 5 10 b. Confidence level 5 95%, df 5 15 c. Confidence level 5 99%, df 5 15

9. Coffee Bliss claims that the average customer satisfaction rating across all stores is at least 8.0. Use a significance level of 0.05 to test this claim using the sample data. sigma= .61 xbar= 7.81 mu=8.0 n=50

________ is finding that a systematic association exists between the two variables of interest in the population and is a statistical issue. Group of answer choices Direction Strength of association Absence Presence

A survey of 692 students found that 231 were Democrats, 169 were Republicans, 240 were independent, and 52 belonged to another smaller party. What is the frequency and relative frequency of Republicans from that sample?

Find the critical values, chi Subscript 1 minus alpha divided by 2 Superscript 2χ21−α/2 and chi Subscript alpha divided by 2 Superscript 2χ2α/2, for 95% confidence and nequals=12. Round to three decimal places.

Find the value of the test statistic z using z = . A claim is made that the proportion of ̂ \sigma p students that work is greater than 0.80. The sample statistics include 120 students with 82% saying they work.

Using the binomial probability distribution that you just constructed in the last part, calculate the following probabilities: P(x >1) = Blank 1 P(x ≤ 4) = Blank 2 P(4 < x ≤ 7) = Blank 3

Assume that X has a normal distribution with the specified mean and standard deviation. μ=18; σ=1.5 Find the 42nd percentile, that is the cutoff value of the top 58%. Round z-score and your answer to 3 decimal places

After finding your best-fitting model, what should you do next: Use the model to make predictions and estimates Check the assumptions on the residuals Stop, you're done Assess the fit statistics for practical utility

Assume that X has a normal distribution with the specified mean and standard deviation. μ=5; σ=1.4 Find the cutoff values of the middle 29%. Round your answers to 3 decimal places. Low: x1=3.355Incorrect High:

Annie Li wants to determine if two categorical variables are independent. What kind of test should CMO Li run? Question 18 options: Test of R squared Null hypothesis test P Test Cross tabulation and Chi Square Test

a pizza delivery driver, always trying to increase tips, runs an experiment on his next 40 deliveries. He flips a coin to decide whether or not to call... what are the units and how did the driver randomize treatments

Part A: The National Sleep Foundation recommends an average of 7–9 hours of sleep for young adults.1 Estimate the percentage of college students who meet these guidelines. Round your answer to the nearest hundredth.

Y has a distribution function F(y) = 0,y ≤ 0, y16 ,0 < y < 4, y264 , 4 ≤ y < 8,1,y ≥ 8. Find the mean and variance of Y. (Round your answers to four decimal places.) E(Y)= V(Y)=

Select all options that apply. Probability means and event that: Question 1 Select one or more: A. is expected to occur or happen. B. has occurred or happened. C. may occur or happen. D. will never occur or happen.

X Y The following X and Y scores from a research study produced SS X = 2 and SP = 8. What is the regression equation for predicting Y? 1 2 2 3 3 10 a. Y = 0.25X + 4.5 b. Y = 4X + 3 c. Y = 4X – 3 d. Y = 0.25X – 4.5

Determine the sample size required to estimate the mean score on a standardized test within 2 points of the true mean with 99% confidence. Assume that s = 15 based on earlier studies. Group of answer choices

A jar has 20 red jelly beans and 40 black jelly beans. If you pick a red jelly bean and put it back, what are the odds of picking a black jelly bean next? Question 47 options: C) 40/60 A) 20/40 B) 20/60 D) 1 (100%)

Explain why “there is a 95% chance that the parameter falls between the lower and upper bound” doesn’t mean the same thing as “we are 95% confident that the parameter falls between the lower and upper bound”

A study of 415 kindergarten students showed that they have seen on average 5000 hours of T.V. suppose the sample standard deviation is 900. a. Find the 95% confidence interval of the mean time for all students.

If a survey demonstrates that a presidential candidate has an approval rating of 53% with a margin of error of 3%, this means that there is a 5% chance that the true approval rating is either below 50 or above 56.

Construct a 90% confidence interval for σ2 (population variance) for the following sample: {12, 13, 12, 11, 15, 12, 13} a) (.846, 6.143) b) (.913, 4.407) c) (1.238, 5.735) d) (.771, 5.941)

Which of the following respondent errors is the most unlikely to occur when Skechers has a mall-intercept survey performed to determine opinions and uses of footwear Nonresponse Falsehoods Distractions Guessing

If the test is done at a 5% level of significance, the null hypothesis should Question 8 options: not be rejected be rejected Not enough information is given to answer this question None of the answers is correct

redict the mean quality for a red wine that has 1010% alcohol. Construct a 95% confidence interval estimate and a 95% prediction interval. Predict the mean quality for a red wine that has 1010% alcohol.

Given the population has σ=2.89. Using the data given on slide 15 and formula from slide 14, what will the standard error of the mean be given a sample size of 400? Group of answer choices 0.134 0.145 0.151 0.129

Consider a pair of random variables X,Y each of which take on values on the set A={1,2,…,N} where N=48. The joint distribution of X,Y is a constant: PX,Y(x,y)=1N2forallx,y Find the probability P[X=Y].

If two events are mutually exclusive (can’t happen at the same time), what is the probability that one or the other occurs? Group of answer choices 0 0.5 Can’t be determined from the information provided 1.0

2) Using your calculator and the best of the four methods above, find a model, H(t), that estimates the height of the projectile above ground t seconds after it was shot. ROUND TO TWO DECIMAL PLACES.

Show that the exponential distribution, the normal distribution with mean and known variance , and the Poisson distribution with mean , belong to the linear exponential family of distributions.

What does the correlation of r = 0.69 indicate in the corrected data for Height and Foot Length? A weak connection A somewhat strong positive linear relationship A strong negative linear relationship No connection

If a one-tail F test (95% confidence) with ten samples yielded a variance of nine, and nine samples yielded a variance of four, what F critical value would be used? Group of answer choices 3.14 3.23 3.44 3.39

An interaction a. occurs when there are two main effects. b. can only occur when there are no main effects. c. occurs when there is only one main effect. d. doesn't depend on the significance of the main effects

A ______ is a sample in which elements are sampled in proportion to their representation in the population. Question 34 options: a) quota sample b) cluster sample c) snowball sample d) convenience sample

Steph Curry, the best free throw shooter in the NBA this past season, makes 93.3% of his free throws. lf steph takes12 free throws in a game, what is the probability he makes at least 11 of them?

The mean monthly rent of students at Oxnard University is $910 with a standard deviation of $216. (a) John’s rent is $1,355. What is his standardized z-score? Note: Round your answer to 3 decimal places.

A ______ is a probability sample in which elements are divided into groups based on a characteristic. Question 26 options: a) systematic sample b) simple random sample c) cluster sample d) stratified sample

Indicate whether the value given in bold print is a statistic or a parameter. Of 10 students sampled from a class of 200, 8 (80%) said they would like the school library to have longer hours. statistic parameter

Compare two probability distributions, a gamma distribution with parameters α=5, β=3, and a normal distribution with the same mean and standard deviation as the gamma. Which of the following is true?

A random sample of 97 light bulbs had a mean life of x=471 hours. Assume that o=34 hours. Construct an appropriate (t or z) 90% confidence interval for the mean life, μ, of all light bulbs of this type.

Let Y be χ2(n). Use the central limit theorem to demonstrate that W = (Y−n)/√2n has a limiting cdf that is N(0,1). Hint: Think of Y as being the sum of a random sample from a certain distribution.

Which hypothesis applies to test the claim that the population mean monthly cell phone bill is at least $125. None apply and none can be used Ha: u ≥ 125 Ho: u ≥ 125 All apply and any can be used Ha: u > 125

IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2%? The lower 10%? The upper 60%? The middle 95%?

In a study, a group of mice are put into a maze with multiple pass and options. The time it takes for each mouse to complete. The maze in the path taken are recorded. This is an example of an what kind of study

In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 41 people and she concluded 7 people had blue eyes. Calculate the z-score. Multiple Choice 0.1707 0.0710 1.5097 0.6686

A set of X and Y scores has M X X Y Y = 4, SS = 10, M = 5, SS = 40, and SP = 20. Which is the regression equation for predicting Y from X? a. Ŷ = 0.25X + 4 b. Ŷ = 2X – 3 c. Ŷ = 0.5X + 3 d. Ŷ = 4X – 9

If you were to toss a die a hundred times, add up the values of each toss and calculate the mean, and then do this 50 times, the distribution of your sample of 50 means would be normal, as in bell-shaped.

A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the statistical significance of the correlation?

When planning a new voter survey, how large must n be so that the error in measuring the number of voters planning to vote for Proposition 5 will be at most 3 percentage points, with 99% confidence?

Conduct a hypothesis test at the 1% significance level in order to determine if β1 differs from −1,000. Note: Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.

Find the population variance and standard deviation for the following population. Round the answers to at least two decimal places. 19 9 18 8 28 29 Send data to Excel The population variance is

calculate the mean, median, mode, range and standard deviation of the following data and determine unusual values. 1, 3,5,7,9,9,9,11,13,15,29

QUESTION 2: An Independent Samples t test produces the following results: t(29) = 5.15, p < .05. 1) How many participants were included in the study? 2) What was the decision abut the Null Hypothesis?

Find Standard Deviation for the data given. (choose closest answer). Round your answer to two digits after decimal. xf13344551657493 Group of answer choices 2.35 2.40 none of these answers 5.75

The difference between the observed (actual value of y) and predicted value of ŷ from a regression model is called the Question 8 options: 1) Correlation 2) Variance 3) Remainder 4) Residual or error

According to a study, what percentage of college students had, at some point, acted deceptively in their reported number of prior sexual partners? Multiple Choice 15 percent 60 percent 34 percent 72 percent

The distribution of passenger vehicle speeds (mph) traveling on the Interstate 5 Freeway (I-5) in California can be modeled using a N(72.6, 22.8) distribution. What percent of cars speed over 80 mph?

Look at the spinner to answer the following: Event A: Get an odd number less than 12. The elements of A are: Event B: Get a prime number greater than 8. The elements of B are: Are the events disjoint?

Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 5 different colors. Step 2 of 2: How many selections of collars are possible if repetitions of colors are not allowed?

In a recent survey of dog owners, it was found that 1003, or 34%,of the owners take their dogs on vacation with them. Find the number of dog owners in the survey who do not take their dogs on vacation.

The coefficient of multiple determination, adjusted r square, reports the proportion of the variation in Y that is explained by the variation in the set of independent variables. True False Clear selection

Designs that do not control for extraneous factors by randomization are called ________. true experimental designs quasi-experimental designs statistical designs preexperimental designs extraneous designs

Suppose a regional manager believes that urban stores have higher average weekly sales than suburban stores. Test this claim using a two-sample t-test using alpha = 0.05.. sigma= .61 xbar= 7.81 n=50

An analysis of variance is used to evaluate the mean differences for a research study comparing four treatment conditions and seven scores in each sample. How many total degrees of freedom are there?

A sample of n=7 online students was selected and the distance, in miles, between each student's home and Columbia was recorded. The results were:1, 1, 2, 3, 4, 9, 95The upper quartile is __________ miles.

our survey found that 56% of college students live on campus and 62% have a meal plan program, and 42% have both. in this ecpiernment what would be the denominator of the fraction if you wanted to find

A 5-card hand is dealt from a standard 52-card deck. If the hand contains at least one Ace, you win $5. Otherwise you lose $2. What is the expected value of the game? Is it a fair game?

Let Y be 2(n). Use the central limit theorem to demonstrate that W = (Yn)/2n hasa limiting cdf that is N(0,1). Hint: Think of Y as being the sum of a random sample from a certaindistribution

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates the Y intercept. for each unit increase in X, Y increases by 20. for each unit increase in Y, X increases by 20. none of the above.

Assume that you plan to use a significance level of alpha=0.05 to test the claim that p1=p2. Use the given sample sizes and numbers of successes to find the p-value for the hypothesis test.

Evaluate a seasonally adjusted trend forecasting model. Note: Round all your answers to 4 decimal places except "Absolute percent error" answers which should be rounded to 2 decimal places.

Compute the least-squares regression equation for the given data set. Round the slope and y -intercept to at least four decimal places. x 5 1 6 7 4 y 2 5 6 1 7 Send data to Excel

In a random sample of 1000 voters, 538 favor candidate A. What is a 99% confidence interval for p, the proportion of all voters who favor A?

On a placement examination, Rick scored lower than 1128 of the 12,750 students who took the exam. Find the percentile, rounded to the nearest percent, for Rick's score. Rick was at the st percentile.

In testing if the diameter of a tree is significant, state the null and alternative hypothesis Ho: β1 = 0 vs. Ha: β1 not= 0 Ho: β1 not= 0 vs. Ha: β1 = 0 Ho: β2 = 0 vs. Ha: β2 not= 0 none of these

suppose the area under the normal curve to the right of x=4620 is 0.0228. provide an interpretation of this result. select the correct choice below and fill in the answer box to complete your choice.

Compute the least-squares regression equation for the given data set. Use a TI- calculator. Round the slope and -intercept to at least four decimal places. X: 4, 1, 3, 6, 7 Y: 3, 1, 7, 2, 5

Part D: About what body temperature would the top 1% of healthy adults have? Use the DCMP Normal Distribution tool and round your answer to 2 decimal places. Make sure to include appropriate units.

Suppose that a random sample of size 100 is to be selected from a population with mean of 50 and standard deviation of 8. What is the probability that a sample mean will be greater than 50.8

Identify a source of bias and explain its effect? To determine opinion of voter support for a downtown renovation project, a survey randomly questioned people working in various downtown businesses.

a random sample of 35 shoppers showed that they spend an average of $24 per visit at the bookstore. the standard deviation of the population is $3.89 find the 98% confidence interval of the mean

Researcher would like to understand if increases in employee loyalty increases productivity. What kind of relationship do we assume? correlational regressional negative regression cause and effect

• Use the StatCrunch T-calculator to find the P-value. Note that the T-calculator requires you to calculate and enter degrees of freedom and a T-score. What is the P-value for this test?

You are performing a two-way ANOVA examining gender and 2 treatment conditions. You get a significant main treatment effect. You must now do a post hoc test to discover where the differences lie.

(a) For the alternative value p = 0.21, compute 𝛽(0.21) for sample sizes n = 400, 1600, 12,100, 40,000, and 90,000. (Round your answers to four decimal places.)

Rachel is in a bowling league, and her bowling scores have an average of 202 with a standard deviation of 19. Find the probability that a randomly selected bowling score is between 165 and 175.

Research question: Does wearing red influence the outcome of physical contestsn 457 total matches, the competitor wearing red won 248 times and the competitor wearing blue won 209 times

A sample of 37 AA batteries had a mean lifetime of 584 hours. A 95% confidence interval for the population mean was 579.2 < μ < 588.8. Which statement is the correct interpretation of the results?

In a multiple regression analysis, SSR = 1,000 and SSE = 200. The F statistic for this model is _____. a. 5.0 b. Not enough information is provided to answer this question. c. 800 d. 1,200

The number of people who eat margarine in Maine have lower divorce rates. What is the correlation called? Question 3 options: R project correlatioins Positive predictive correlation Spurious Causal

A card is drawn at random from a standard 52-card deck. Events D and E are defined as D = the drawn card is a diamond. A). Find P(D) = B). Find P(D ∩ E) = E). Are D and E independent? Why?

7. The average price of a pound of sliced bacon is $3.05. Assume σ = $0.36. If a random sample of 40 1-lb packages is selected, find the probability that the mean price will be less than $3.00.

Suppose we used 𝛼 = 10 and 𝛽 = 5 in our beta prior and observed the first success on trial 6. What is the conclusion of a Bayesian test for 𝐻2 : 𝑝 < .4 versus 𝐻3 : 𝑝 ≥ .4?

In simple linear regression analysis, if the residual sum of squares is zero, then the coefficient of determination r 2 must be Group of answer choices −1 0 between −1 and zero 1 between −1 and 1

Suppose the correlation between height and weight for adults is r= 0.40. What proportion (or percent) of the variability in weight can be explained by its relationship with height? 40% 84% 16% 60%

Calculate the sample standard deviation of the test scores. Test ScoresFrequency40 - 49150 - 59360 - 691070 - 79680 - 89890 - 995 Round your answer to two decimal places. s =

Given the following information: P(A) = 0.49 P(B) = 0.32 P(A and B) = 0.14 P(B given A) = 0.3 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 11.20. Question Blank 18 of 18

A group of 100 students at a women's college have gathered to mark the start of their senior year. How many of these students have experienced at least one eating disorder? a. 18 b. 9 c. 12 d. 5

A newsletter publisher believes that more than 75%75% of their readers own a personal computer. Is there sufficient evidence at the 0.010.01 level to substantiate the publisher's claim?

At a 0.05 level of significance, if the p-value is 0.999, the conclusion is to reject the null hypothesis. none of the above. fail to reject the null hypothesis. accept the alternative hypothesis.

Given that the sample proportion 0.4, with a confidence interval, 0.07. How would a confidence interval look? Group of answer choices 0.42 to 0.50 0.33 to 0.47 0.32 to 0.33 cannot determine

Consider an infinite i.i.d. sequence Bernoulli random variables Bk,k=1,2,… where each random variable takes on the value 1 probability is p=0.63. Find the probability P[B3=1,B2=0∣B1=0]

Which of the following is the probability that subjects do not have the disease, but the test result is positive? Group of answer choices Base rate Disease rate False positive rate Miss rate

A random sample of 97 light bulbs had a mean life of hours. Assume that Construct an appropriate (t or z) 90% confidence interval for the mean life, μ, of all light bulbs of this type.

if you want to be 99% confident of estimating the population mean to within a sampling error of ±35 and the standard deviation is assumed to be 210, what sample size is required?

A two-factor ANOVA produces an F-ratio for factor A with df = 4, 27 and an F-ratio for factor B with df = 3, 36. Which of the following describes the experiment producing these F-ratios?

You measure the length r of the radius of a cylinder 8 times; each measurement has an uncertainty of Dr = 0.3mm. What is the uncertainty Δr¯, in mm, of the mean r¯ of the measurements?

If there is a very strong negative correlation between two variables, then the correlation coefficient will be _____. a. very close to –0.5 b. very close to –1 c. exactly 0 d. very close to 1

All other things being held constant, what is the change in the dependent variable for a unit change in X 1 for the multiple regression equation: Y = 6.3 X 1 − 7.1 X2 + 5.2? −7.1 +5.2 +6.3 +4.4

Consider the following regression equation: Ŷ = 30 + 8X. If SSE = 1,260 and SS Total = 1,400, then the correlation coefficient is _____________blank. Multiple Choice −0.38 +0.316 −0.316 +0.38

In a multiple regression model, the error term \epsi is assumed to _()_(_())_(_()). a. have a standard deviation of 1 b. be normally distributed c. have a variance of 0 d. have a mean of 1

A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey. 2 orders are made, Find the probability that at least 1 is Grey. Round to 4 d.p.

A distribution of test scores (low scores better) has a mean = 3200 and standard deviation = 275. Convert a z-score of - 1.44 into a raw score. Group of answer choices 2804 2925 3472 3596

f we use the chiχsquared2 method of analysis to test for the differences among 4 proportions, what is the degrees of freedom equal to? Question content area bottom Part 1 A. 1 B. 5 C. 4 D. 3

A researcher wants to determine if there is a significant difference between the average reading scores of two groups of students. Which hypothesis test should be used for this analysis?

Find the critical value F0 for a right-tailed test using α = 0.01, degrees of freedom in the and degrees of freedom in the denominator = 20. Group of answer choices 4.94 3.09 5.82 25.58

1. A steel plate contains 20 bolts. Assume that five bolts are not torqued to the proper limit. Four bolts are selected at random, without replacement, to be checked for torque.

The Observed Variance of a test is 40 and the Error Variance is 12. What is the reliability of this test? Group of answer choices .30 .52 .70 Cannot determine from the given information.

An urn contains 3 white and 5 red balls. Two balls are drawn in succession without replacement. If the second ball is white, what is the probability of the first ball was white?

Give a 90% confidence interval, for μ1-μ2 given the following information. n1=50, x¯1=2.75, s1=0.82 n2=25, x¯2=2.85, s2=0.5 ± Use Technology Rounded to 2 decimal places.

Researchers have identified ______ species and four varieties of Coca that are known to have been used prehistorically and continue in use today. Group of answer choices four two three one

An Independent Samples t test produces the following results: t(29) = 5.15, p < .05. 1) How many participants were included in the study?What was the decision abut the Null Hypothesis?

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. critic rating movies on a scale from 1 star to 8 stars

Determine the sample size required to estimate the mean score on a standardized test within 2 points of the true mean with 99% confidence. Assume that s = 15 based on earlier studies

Bara Research Group conducted a survey about. church attendance. a. Use the sample data to determine whether church attendance is independent of age. Use a .05 level of significance.

You have a 1414-sided dice. Your friend Nasir has three favorite numbers: 7, 4, and 11. What is the probability that you roll one of his favorite numbers? Enter your answer as a fraction

Let f(x, y) = 24xy 0 … x … 1, 0 …y…1, 0…x+y…1 and let it equal 0 otherwise. (a) Show that f(x, y) is a joint probability density function. (b) Find E[X].

1. 5 points) From your regression Excel output, find the estimated y-intercept and estimated slope. Round your answer to three decimal places. · y-intercept: · slope:

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=11, p=0.2, x≤2

if you have one quantitiative predictor and one qualitative predictor with two levels in your data and you get a p value of 0.002 for your quadratics test, the next step is to conduct a

Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below in a poll conducted by a certain research center

This data is from a sample. Calculate the standard deviation and variance. x43.846.83420.819.91743.321.348.1 Round answers to two decimal places. Standard Deviation = Variance =

9. Coffee Bliss claims that the average customer satisfaction rating across all stores is at least 8.0. Use a significance level of 0.05 to test this claim using the sample data.

For 300 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor.

A newsletter publisher believes that under 29%29% of their readers own a personal computer. Is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim?

Find the mean and standard deviation for each binomial random variable: n = 32, ππ = 0.60 Note: Round your mean value to 2 decimal places and standard deviation to 4 decimal places.

In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure). Lower and upper limit 95% confidence interval

Find the mean and standard deviation for each binomial random variable: n = 70, ππ = 0.40 Note: Round your mean value to 2 decimal places and standard deviation to 4 decimal places.

Consider two independent continuous random variables X1,X2uniformly distributed over [0,1]. Let Y=X1+X2 with probability density function fY(y). Find fY(y) where y= 1.26.

There are 12 books on a shelf, all with different heights, if three books are chosen at random, what is the probability that one of the books chosen is the tallest book on the shelf?

You observe that individuals in a known strength training program lose weight. You are performing an experiment testing the effect of a new type of strength training on weight loss.

Let 𝑁 have a Poisson distribution with mean Λ. Let Λ have a gamma distribution with mean 1 and variance 2. Determine the unconditional probability that 𝑁 = 1.

The mean is more than the median _______ Question 62 options: a) when the data is skewed to the left b) when the data is skewed to the right c) never d) when the data is symmetric

The central limit theorem says that the sum of a group of independent, identically distributed random variables approaches a distribution as the number of random variables increases.

A charity organization is holding a raffle. Each ticket costs $9. One winner will win the $1300 prize. If 1101 people buy a ticket for the raffle, what is a player's expected outcome?

A fair die is rolled once. If it lands six, you win $6. However, you lose $2 if it does not land on six. Let M denote the amount of money you win. Find expected value of M

Suppose that a random sample of size 100 is to be selected from a population with mean 40 and standard deviation 8. What is the probability that a sample mean will be less than 40.8

In multiple regression analysis, the high correlation among the independent variables is termed as Group of answer choices multicollinearity multiple regression interaction linearity

Calculate the probability of single and multiple events. In a 52-card deck, what is the probability that you would draw a 4 card in a single draw? A.) 0.06 B.) 0.04 C.) 0.08 D.) 0.02

Question 18 options: Use a simple exponential smoothing model (SES) with alpha of .4. The forecast for period 8 is? period Y 1 50 2 85 3 65 4 90 5 88 6 90 7 110 8

If we want to compare more than 2 segments statistically in EXCEL, what function would we use? Question 17 options: ANOVA Square of the sums Anova and square of the sums 2 Sample Test

Research the rights of an unborn child and parents in the Commonwealth of Massachusetts. What did you find out. Support your findings with other research. Include work cited

a candidate who understands that in a two person race the person closer to the center of the voter distribution will win is likely to ? first take polls or speak in specific terms

If there are 49 data points in a set of data, what is the number of degrees of freedom? (Assume simple linear regression. Enter an exact number as an integer, fraction, or decimal.)

A SOW is required in all projects. Select one: A. The statement is always false B. The statement is sometimes false C. The statement is always true D. The statement is sometimes true

The author selected 100 subjects from the California health survey and 52 were female. Construct a 95% confidence interval for the percentage of adult Californias that are female

Consider the following probability distribution of the random variable X. xiP(X = xi)00.310.120.230.4 The expected value of X is __________blank. Multiple Choice 1.3 1.7 0.7 2.3

A distribution of test scores (high scores better) has a mean = 87 and standard deviation = 24. A T-score of 35 represents which raw score? Group of answer choices 51 72 102 123

in excel how to determine the beta distribution for the cost of an accident for 500 accidents with a beta of 3 and an alpha of 1.5, minimum cost of $500 and maximum cost of $20000

Consider an experiment that consists of rolling a six–sided die with a sample space S = {1, 2, 3, 4, 5, 6}. The probability of obtaining an even number is {2, 4, 6}. true or false?

Find the probability that the weight of the toffees in a box is less than one half12 of a poundpound if it is known that creams constitute one half12 of the weight.

The value of an independent variable from the prior period is referred to as a _____. Group of answer choices lagged variable dummy variable continuous variable categorical variable

If you think there is no relationship between gun ownership and crime, and your statistical test shows a non-zero coefficient with a p-value of .03, what should you conclude?

Consider the following data. 3,14,12,2,12,10,3 Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

The sum of the squared difference of each data point and the mean of all data points is larger than a similar sum using any value other than the mean. True or false (and why)

If the correlation coefficient (r) equals 0.61, it indicates that the proportion of the variation in the dependent variable explained by the variation in the independent variable is

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