7-4 Bootstrapping: Using Technology for Estimates 363 17. Brain Volumes Use these measures of brain volumes 1cm32 from Data Set 12 “IQ and Brain Size” in Appendix B. Use the bootstrap method with 1000 bootstrap samples. 1005 963 1035 1027 1281 1272 1051 1079 1034 1070 1173 1079 1067 1104 1347 1439 1029 1100 1204 1160 a. Use 1000 bootstrap samples to construct a 90% confidence interval estimate of the population mean. b. Use 1000 bootstrap samples to construct a 90% confidence interval estimate of the population standard deviation. 18. Caffeine in Soft Drinks Listed below are measured amounts of caffeine (mg per 12 oz of drink) obtained in one can from each of 20 brands (7UP, A&W Root Beer, Cherry Coke, . . . , TaB). a. Use 1000 bootstrap samples to construct a 99% confidence interval estimate of the mean amount of caffeine in cans of soft drinks. b. Given that Exercise 20 in Section 7-2 used the same data for a 99% confidence interval based on use of the t distribution, and given that the data do not appear to be from a normally distributed population, which confidence interval is likely to be better: The confidence interval from part (a) or the confidence interval found in Exercise 20 in Section 7-2? c. How does the result compare to the confidence interval found in Exercise 20 in Section 7-2 on page 343? 0 0 34 34 34 45 41 51 55 36 47 41 0 0 53 54 38 0 41 47 19. Survey Return Rate In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 5000 subjects randomly selected from an online otological group (focused on ears), and 717 surveys were returned. Use the bootstrap method to construct a 90% confidence interval estimate of the proportion of returned surveys. Use 1000 bootstrap samples. How does the result compare to the confidence interval found in Exercise 15 “Survey Return Rate” from Section 7-1 on page 325? 20. Medical Malpractice In a study of 1228 randomly selected medical malpractice lawsuits, it was found that 856 of them were dropped or dismissed (based on data from the Physicians Insurers Association of America). Use the bootstrap method to construct a 95% confidence interval estimate of the proportion of lawsuits that are dropped or dismissed. Use 1000 bootstrap samples. How does the result compare to the confidence interval found in Exercise 16 “Medical Malpractice” from Section 7-1 on page 325? 21. Eliquis The drug Eliquis (apixaban) is used to help prevent blood clots in certain patients. In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Use the bootstrap method to construct a 99% confidence interval estimate of the proportion patients who experience nausea. Use 1000 bootstrap samples. How does the result compare to the confidence interval found in Exercise 14 “Eliquis” from Section 7-1 on page 325? 22. Job Interviews In a Harris poll of 514 human resource professionals, 463 said that the appearance of a job applicant is most important for a good first impression. Use 1000 bootstrap samples to construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. How does the result compare to the confidence interval found in Exercise 24 part (b) in Section 7-1 on page 327? 23. Analysis of Last Digits Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. 5010205050385050560000008 5504500400000809530500058 continued
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