Numerade

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Hoan Nguyen

Numerade educator

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts, and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), and K (king) of that suit. S = spades, H = Hearts, D = Diamonds, C = Clubs. a. Suppose you pick four cards, but do not put any cards back into the deck. Your cards are QS, 1D, 1C, QD. b. Suppose you pick four cards and put each card back before you pick the next card. Your cards are KH, 7D, 6D, KH. Which of a. or b. did you sample with replacement and which did you sample without replacement?

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Lucas Finney

Numerade educator

The population standard deviation for the height of high school basketball players is three inches. If we want to be 95% confident that the sample mean height is within one inch of the true population mean height, how many randomly selected students must be surveyed?

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Lucas Finney

Numerade educator

Suppose we know that a confidence interval is (42.12, 47.88). Find the error bound and the sample mean.

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Lucas Finney

Numerade educator

The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user’s body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.6 watts per kilogram. Table 8.1 shows the highest SAR level for a random selection of cell phone models as measured by the FCC. Phone Model SAR Phone Model SAR Phone Model SAR Apple iPhone 4S 1.11 LG Ally 1.36 Pantech Laser 0.74 BlackBerry Pearl 8120 1.48 LG AX275 1.34 Samsung Character 0.5 BlackBerry Tour 9630 1.43 LG Cosmos 1.18 Samsung Epic 4G Touch 0.4 Cricket TXTM8 1.3 LG CU515 1.3 Samsung M240 0.867 HP/Palm Centro 1.09 LG Trax CU575 1.26 Samsung Messager III SCH-R750 0.68 HTC One V 0.455 Motorola Q9h 1.29 Samsung Nexus S 0.51 HTC Touch Pro 2 1.41 Motorola Razr2 V8 0.36 Samsung SGH-A227 1.13 Huawei M835 Ideos 0.82 Motorola Razr2 V9 0.52 SGH-a107 GoPhone 0.3 Kyocera DuraPlus 0.78 Motorola V195s 1.6 Sony W350a 1.48 Kyocera K127 Marbl 1.25 Nokia 1680 1.39 T-Mobile Concord 1.38 Table 8.1 Problem Find a 98% confidence interval for the true (population) mean of the Specific Absorption Rates (SARs) for cell phones. Assume that the population standard deviation is σ = 0.337.

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Lucas Finney

Numerade educator

The following data represent the number of employees at various restaurants in New York City. Using this data, create a histogram. 22; 35; 15; 26; 40; 28; 18; 20; 25; 34; 39; 42; 24; 22; 19; 27; 22; 34; 40; 20; 38; and 28 Use 10–19 as the first interval.

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Lucas Finney

Numerade educator

By the end of 2011, Facebook had over 146 million users in the United States. Table 2.9 shows three age groups, the number of users in each age group, and the proportion (%) of users in each age group. Construct a bar graph using this data. Age groups Number of Facebook users Proportion (%) of Facebook users 13–25 65,082,280 45% 26–44 53,300,200 36% 45–64 27,885,100 19%

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Lucas Finney

Numerade educator

In a survey, 40 people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table 2.8. Construct a line graph. Number of times in shop Frequency 0 7 1 10 2 14 3 9

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Lucas Finney

Numerade educator

A researcher wants to study the effects of birth order on personality. Explain why this study could not be conducted as a randomized experiment. What is the main problem in a study that cannot be designed as a randomized experiment?

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Lucas Finney

Numerade educator

You are going to use the random number generator of a TI-84 Plus to generate different types of samples from the data. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. Generate a stratified sample with 3 values from each column. Generate a simple random sample of size 15. #1 #2 #3 #4 #5 #6 5 7 10 9 8 3 10 5 9 8 7 6 9 10 8 6 7 9 9 10 10 9 8 9 7 8 9 5 7 4 9 9 9 10 8 7 7 7 10 9 8 8 8 8 9 10 8 8 9 7 8 7 7 8 8 8 10 9 8 7

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Lucas Finney

Numerade educator

Determine what the key terms refer to in the following study. A study was conducted at a local college to analyze the average cumulative GPA’s of students who graduated last year. Fill in the letter of the phrase that best describes each of the items below. 1. Population_____ 2. Statistic _____ 3. Parameter _____ 4. Sample _____ 5. Variable _____ 6. Data _____ all students who attended the college last year the cumulative GPA of one student who graduated from the college last year 3.65, 2.80, 1.50, 3.90 a group of students who graduated from the college last year, randomly selected the average cumulative GPA of students who graduated from the college last year all students who graduated from the college last year the average cumulative GPA of students in the study who graduated from the college last year

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John D.