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Chapter 12: Q. 2 (page 799)
If and events
are independent, what is )?
result is:
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Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the University of Washington student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.
From the chi-square test performed in this study, we may conclude that
(a) there is convincing evidence of an association between the gender of an individual participating in the event and development of a rash.
(b) mud wrestling causes a rash, especially for women.
(c) there is absolutely no evidence of any relation between the gender of an individual participating in the event and the subsequent development of a rash.
(d) development of a rash is a real possibility if you participate in mud wrestling, especially if you do so on a regular basis.
(e) the gender of the individual participating in the event and the development of a rash are independent.
The P-value for the test in Question 5 is . A correct interpretation of this result is that
(a) the probability that there is no linear relationship between an average number of putts per hole and total winnings for these players is .
(b) the probability that there is no linear relationship between the average number of putts per hole and total winnings for all players on the PGA Tour’s world money list is .
(c) if there is no linear relationship between an average number of putts per hole and total winnings for the players in the sample, the probability of getting a random sample of players yields a least-squares regression line with a slope of or less is .
(d) if there is no linear relationship between an average number of putts per hole and total winnings for the players on the PGA Tour’s world money list, the probability of getting a random sample of 69 players yields a least-squares regression line with a slope of or less is .
(e) the probability of making a Type II error is.
Oil and residuals Exercise 59 on page 193 (Chapter 3) examined data on the depth of small defects in the Trans-Alaska Oil Pipeline. Researchers compared the results of measurements on 100 defects made in the field with measurements of the same defects made in the laboratory. The figure below shows a residual plot for the least-squares regression line based on these data. Are the conditions for performing inference about the slope of the population regression line met? Justify your answer.
Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers with an initial BAC of drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. Least-squares regression was performed on the data. A residual plot and a histogram of the residuals are shown below. Check whether the conditions for performing inference about the regression model are met.
Time at the table Refer to Exercise 14.
(a) Construct and interpret a 98% confidence interval for the slope of the population regression line. Explain how your results are consistent with the significance test in Exercise 14.
(b) Interpret each of the following in context:
(i)s
(ii)
(iii) The standard error of the slope
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