362 CHAPTER 7 Estimating Parameters and Determining Sample Sizes 11. Archeology Archeologists have studied sizes of Egyptian skulls in an attempt to determine whether breeding occurred between different cultures. Listed below are the widths (mm) of skulls from 150 A.D. (based on data from Ancient Races of the Thebaid by Thomson and Randall-Maciver). a. Use 1000 bootstrap samples to construct a 99% confidence interval estimate of the mean skull width. b. How does the result compare to the confidence interval found in Exercise 13 in Section 7-2? 128 138 126 132 143 135 139 129 12. Minting Quarters Listed below are weights (grams) of quarters minted after 1964 (based on Data Set 40 “Coin Weights” in Appendix B). a. Use 1000 bootstrap samples to construct a 95% confidence interval estimate of the mean weight of all quarters minted after 1964. b. Specifications require that the quarters have a weight of 5.670 g. What does the confidence interval suggest about that specification? c. How does the confidence interval compare to the result found in Exercise 14 in Section 7-2 on page 342? 5.7790 5.5928 5.6486 5.6661 5.5491 5.7239 5.5591 5.5864 5.6872 5.6274 13. Los Angeles Commute Time Listed below are 15 Los Angeles commute times (based on a sample from Data Set 31 “Commute Times” in Appendix B). a. Use 1000 bootstrap samples to construct a 99% confidence interval estimate of the population mean. b. Given that Exercise 15 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 15 in Section 7-2? 5 2545 5 5 4025 8 50 5 5 30152550 14. Los Angeles Commute Time Listed below are 32 Los Angeles commute times (based on a sample from Data Set 31 “Commute Times” in Appendix B). a. Use 1000 bootstrap samples to construct a 99% confidence interval estimate of the population mean. b. How does the result compare to the confidence interval found in Exercise 16 in Section 7-2? 52545 5 54025 850 5 53015255018 254575604025 8501010301525502030 15. Heights of Female Soccer Players Listed below are the heights (in.) of players on the U.S. Women’s National Soccer Team (at the time of this writing). Use those heights as a sample of the heights of all professional women soccer players. a. Use 1000 bootstrap samples to construct a 95% confidence interval estimate of s. b. How does the result compare to the confidence interval found in Exercise 13 in Section 7-3? 67 67 70 61 67 69 69 66 69 66 64 68 68 71 72 67 69 65 66 64 67 67 67 16. Mint Specs Listed below are weights (grams) from a simple random sample of pennies produced after 1983 (from Data Set 40 “Coin Weights” in Appendix B). a. Use 1000 bootstrap samples to construct a 95% confidence interval estimate of s. b. How does the result compare to the confidence interval found in Exercise 14 in Section 7-3? 2.5024 2.5298 2.4998 2.4823 2.5163 2.5222 2.4900 2.4907 2.5017
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