Book edition 6th

Author(s) Daren Starnes, Josh Tabor

Pages 837 pages

ISBN 9781319113339

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The professor swims Here are data on the time (in minutes) Professor Moore takes to swim $2000$ yards and his pulse rate (beats per minute) after swimming on a random sample of $23$ days:
Is there convincing evidence of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims $2000$ yards?

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A study of road rage asked random samples of $596$ men and $523$ women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of $0 - 20$ . The respondents were chosen by random-digit dialing of telephone numbers. Are the conditions for inference about a difference in means satisfied?

a. Maybe; the data came from independent random samples, but we should examine the data to check for Normality.

b. No; road rage scores on a scale of $0 - 20$ can’t be Normal.

c. No; a paired $t -$ test should be used in this case.

d. Yes; the large sample sizes guarantee that the corresponding population distributions will be Normal.

e. Yes; we have two independent random samples and large sample sizes, and the $10 %$ condition is met.

Do taller students require fewer steps to walk a fixed distance? The scatterplot shows the relationship between x=height (in inches) and y=number of steps required to walk the length of a school hallway for a random sample of 36 students at a high school.

A least-squares regression analysis was performed on the data. Here is some computer output from the analysis

a. Describe what the scatterplot tells you about the relationship between height and the number of steps.

b. What is the equation of the least-squares regression line? Define any variables you use.

c. Identify the value of each of the following from the computer output. Then provide an interpretation of each value.

i. $b_{0}$

ii. $b_{1}$

iii. s

iv. $S E b_{1}$

How well do professional golfers putt from various distances to the hole? The scatterplot shows various distances to the hole (in feet) and the per cent of putts made at each distance for a sample of golfers.

The graphs show the results of two different transformations of the data. The first graph plots the natural logarithm of per cent made against distance. The second graph plots the natural logarithm of per cent made against the natural logarithm of distance.

a. Based on the scatterplots, would an exponential model or a power model provide a better description of the relationship between distance and per cent made? Justify your answer.

b. Here is computer output from a linear regression analysis of ln(per cent made) and distance. Give the equation of the least-squares regression line. Be sure to define any variables you use.

c. Use your model from part (b) to predict the per cent made for putts of 21 feet.

d. Here is a residual plot for the linear regression in part (b). Do you expect your prediction in part (c) to be too large, too small, or about right? Justify your answer.

Recycle and Review Exercises 29-31 refer to the following setting. Does the color in which words are printed affect your ability to read them? Do the words themselves affect your ability to name the color in which they are printed? Mr. Starnes designed a study to investigate these questions using the 16 students in his AP Statistics class as subjects. Each student performed the following two tasks in random order while a partner timed his or her performance: (1) Read $32$ words aloud as quickly as possible, and (2) say the color in which each of $32$ words is printed as quickly as possible. Try both tasks for yourself using the word list given.

Color words (10.3) Now let's analyze the data,

a Calculate the difference (Colors-Words) (Colors - Words) for each subject and surmmarize thedistribution of differences with a boxplot. does the graph provide evidence of a difference in the average time required to perform the two tests? Explain your answer.

b. Explain why it is not safe to use paired & procedures to do inference about the mean difference in time in complete the Two tasks.

A least-squares regression analysis was performed on the data. Here is some computer output from the analysis

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The Practice of Statistics for AP Examination

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The Practice of Statistics for AP Examination

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