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Amanda Romero

Amanda R.

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Viewed Questions

Find the area under the standard normal curve a. between $z=0$ and $z=1.95$ b. between $z=0$ and $z=-2.05$ c. between $z=1.15$ and $z=2.37$ d. from $z=-1.53$ to $z=-2.88$ e. from $z=-1.67$ to $z=2.24$

Introductory Statistics

Continuous Random Variables and the…

The Standard Normal Distribution
Given a standard normal distribution, find the area under the curve that lies (a) to the left of $z=-1.10$; (b) to the right of $z=1.645$; (c) between $z=-2.43$ and -0.45 ; (d) to the left of $z=0.45$; (e) to the right of $z=-0.45$; (f) between $z=-0.45$ and $z=0.45$.

Given a standard normal distribution, find the area under the curve that lies (a) to the left of $z=-1.10$; (b) to the right of $z=1.645$; (c) between $z=-2.43$ and -0.45 ; (d) to the left of $z=0.45$; (e) to the right of $z=-0.45$; (f) between $z=-0.45$ and $z=0.45$.

Probability and Statistics for Engineers and Scientists

Some Continuous Probability…

Applications of the Normal Distribution
A set of data has a normal distribution with a mean of 50 and a standard deviation of $8 .$ Find the percent of data within each interval. less than 50

A set of data has a normal distribution with a mean of 50 and a standard deviation of $8 .$ Find the percent of data within each interval. less than 50

Algebra 2

Probability And Statistics

Normal Distributions
A set of 250 data values is normally distributed with a mean of 50 and a standard deviation of 5.5 What is the probability that a data value selected at random is greater than 39$?$

A set of 250 data values is normally distributed with a mean of 50 and a standard deviation of 5.5 What is the probability that a data value selected at random is greater than 39$?$

Algebra 2

Probability and Statistics

Sampling and Error

Questions asked

ANSWERED

Joanna Quigley verified

Numerade educator

During a school trip, a group of 10 students decided to play a game called “spot the red cars”. Below is the distribution representing the number of red cars spotted by each student: 3; 4; 3; 8; 5; 1; 7; 2; 3; 6 What is the sample size (n) of this sample?

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ANSWERED

Eduard Sanchez verified

Numerade educator

Each score in a set of data is multiplied by 4, and then 9 is added to each score after the multiplication. If the original mean is 7 and the original standard deviation is 3, what are the new mean and new standard deviation?

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ANSWERED

Eduard Sanchez verified

Numerade educator

The following is a sample of IQ's from a population. Find the sample standard deviation in two decimal places. 95, 136, 112, 108, 129

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ANSWERED

Sanchit Jain verified

Numerade educator

A scientist collected a sample of data on cats' weights. The data were rounded to the nearest kilogram. If the minimum weight was 4 kg and the range was 5 kg, what was the maximum weight using real limits?

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ANSWERED

Sanchit Jain verified

Numerade educator

Which of the following statements is NOT TRUE? - both population variance and sample variance are always greater or equal to zero. - it is possible that samples are more variable than their populations. - more than one option is not true. - when we take a sample, the estimate of the variability will be lower than the population because of sampling error. - if we use n instead of n-1 when calculating the variance from a sample, it will be biased.

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ANSWERED

Luke Humphrey verified

Numerade educator

Which of the following statements is true ? - the standard deviation and variance are in different metrics, both quantify how spread the data are. - when groups have less variability, interventions effects are harder to detect and quantify. - when the population variability is small, any individual score or sample will not provide a good representation of the entire set. - a sample statistic is biased only if the average value of the statistic underestimates the corresponding population parameter. - a standard deviation of zero indicates there is no variability which is impossible.

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ANSWERED

Sanchit Jain verified

Numerade educator

Is it possible that samples are more variable than their population? Is it true that when we take a sample, the estimate variability will be lower than the population because of sampling error? Is it true that if we use n instead of n-1 when calculate the variance from a sample, it will be biased?

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ANSWERED

Benjamin Densmore verified

Numerade educator

both population on variance and sample variance are always greater or equal to zero is it true

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ANSWERED

Lucas Finney verified

Numerade educator

7. A Loonie Line game consists of giving a loonie to spin a wheel of fortune, for the chance of winning various delicious baked goods. The wheel has a ( 4 % ) probability of falling on the grand prize, a full plate of brownies. Suppose that 180 students spin the wheel during the week. Let ( r ) be the number of grand prize winners. (a) (1 point) What is the expected value of ( r ) ? (b) (1 point) What is the standard deviation of ( r ) ? (c) (4 points) Use a normal approximation to find the probability that more than 15 students win the grand prize.

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ANSWERED

Robin Corrigan verified

Numerade educator

Question 8. At a car dealership, it was found that ( 35 % ) of all customers buy a black vehicle. Assume every customer choose the color of their vehicle independently. 1. Calculate the probability that exactly 5 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. (2 points) ( x= ) Number of black vehicles that are sold in our sample [ x sim B(10,0.35) ] So ( P(x=5)=inom{10}{5}(0.35)^{5}(0.65)^{5}=15.36 % ) 2. Calculate the probability that at least 3 black vehicles will be sold to the next 10 customers. You don't need to simplify your answer. ( 3 points) [ egin{array}{l} P(x geqslant 3)=1-P(x leq 2) \ =1-sum_{x=0}^{2}inom{10}{x}(0.35)^{x}(0.65)^{10-x} \ =1-0.2617=0.7383 \ =73.83 % \ end{array} ]

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