Introductory Statistics
Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 13, Problem 33SE

College Students and Credit Card Debt In exercise 13.24 you compared credit card debts for college men and women using the Mann-Whitney test to compare medians. We’ll use the same data again, but this time you will apply a randomization test to determine whether men and women in college have different median credit card debts. There were 19 men and 18 women in this data set. As part of the randomization test, the credit card debts were randomly assigned the label “man” or “woman,” and the difference of the medians (men minus women) was calculated and recorded. This was repeated 1000 times. Figure A shows a histogram of the resulting differences of medians, and Figure B shows the resampling output.

Chapter 13, Problem 33SE, College Students and Credit Card Debt In exercise 13.24 you compared credit card debts for college , example  1

a. Why are medians a better choice than means for comparing typical debts of men and women? Refer to the histograms given in Exercise 13.24.

b. The sample medians were $1250 for men and $725 for women, so the difference of men minus women was $525. This value is indicated with a red vertical line in the histogram. Is the observed difference unusually large? Explain.

c. The proportion of differences in the histogram that were greater than or equal to $525 is 0.245, as shown in Figure

b. Our alternative hypothesis, that the medians are different, requires a two-sided test. However, with a significance level of 0.05, and knowing that the two-sided p -value must be bigger than the one-sided value of 0.245, will we reject the null hypothesis? Explain.

Chapter 13, Problem 33SE, College Students and Credit Card Debt In exercise 13.24 you compared credit card debts for college , example  2

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Chapter 13 Solutions

Introductory Statistics

Ch. 13 - Prob. 11SECh. 13 - Morning Routine A statistics student conducted a...Ch. 13 - Exercise Hours A statistics student was interested...Ch. 13 - Television Viewing A Nielsen poll asked people the...Ch. 13 - Lead Exposure (Example 3) Excessive lead levels...Ch. 13 - Juvenile Delinquents Dr. Kirkland R. Gable (in...Ch. 13 - The Stroop Effect Suppose you had to identify the...Ch. 13 - Reading Material on Colored Paper In the past,...Ch. 13 - Males’ Pulse Rates Students in a statistics class...Ch. 13 - Females’ Pulse Rates Refer to exercise 13.19. This...Ch. 13 - Ages of Brides and Grooms A random sample of the...Ch. 13 - Textbook Prices A student was interested in...Ch. 13 - Meat-Eating Behavior (Example 4) A researcher was...Ch. 13 - Credit Card Debt A statistics student who was...Ch. 13 - Prob. 25SECh. 13 - Sleep Typically, do men and women sleep different...Ch. 13 - Cell Phone Bills Cell phone bills (rounded to the...Ch. 13 - Weights of Athletes Data were collected on the...Ch. 13 - Happiness A StatCrunch survey of happiness...Ch. 13 - Soda A StatCrunch survey was done asking what...Ch. 13 - Sports and Extraversion (Example 5) Are students...Ch. 13 - Happiness Are women happier than men? A StatCrunch...Ch. 13 - College Students and Credit Card Debt In exercise...Ch. 13 - Soda Does soda constitute a larger part of the...Ch. 13 - Rainfall In a well-known study on the effects of...Ch. 13 - Rainfall Refer to exercise 13.35, which discussed...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Prob. 39CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 41CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 43CRECh. 13 - Prob. 44CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Ice Cream Cones McDonald’s claims that its ice...Ch. 13 - Average Body Temperatures Many people believe that...Ch. 13 - Contacting Mom Random samples of 30 professors of...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - Geometric Mean The dotplot shows the number of...Ch. 13 - Looking at the data about contacting mom (exercise...Ch. 13 - Resampling Moms We performed a randomization test...Ch. 13 - Prob. 58CRECh. 13 - Prob. 59CRECh. 13 - Prob. 60CRE
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