CHAPTER 13 Cumulative Review Exercises 695 4.Length of Hospital Stay Listed below are lengths of stay (days) for mothers who gave birth at Albany Medical Center, Bellevue Hospital Center, and Olean General Hospital (based on Data Set 6 “Births” from Appendix B). Use a 0.05 significance level to test the claim that the lengths of stay at the three hospitals have the same median. Albany 22365243 2221932 Bellevue 235323264433 232 Olean 32 23243 422 233 5.World Series The last 114 baseball World Series ended with 66 wins by American League teams and 48 wins by National League teams. Use the sign test to test the claim that in each World Series, the American League team has a 0.5 probability of winning. 6. Taxis In a study of the length of time for a taxi ride in New York City, the following sample of times (minutes) was obtained (from Data Set 32 “Taxis” in Appendix B). Use the sign test to test the claim that the sample is from a population with a median equal to 15 minutes. 3847161320471012 7. Taxis Repeat the preceding Review Exercise 6 using the Wilcoxon signed-ranks test. 8.California Lottery Listed below are consecutive first-digits drawn in the California Daily 4 lottery. Test for randomness of even and odd integers. Does the lottery appear to be working as it should? 877805747003129477049517885582 9.Old Faithful Listed below are time intervals (min) between eruptions of the Old Faithful geyser. The “recent” times are within the past few years, and the “past” times are from 1995. Test the claim that the two samples are from populations with the same median. Does the conclusion change with a 0.01 significance level? Recent 78 91 89 79 57 100 62 87 70 88 82 83 56 81 74 102 61 Past (1995) 89 88 97 98 64 85 85 96 87 95 90 95 10.Student and U.S. News & World Report Rankings of Colleges Each year, U.S. News & World Report publishes rankings of colleges based on statistics such as admission rates, graduation rates, class size, faculty–student ratio, faculty salaries, and peer ratings of administrators. Economists Christopher Avery, Mark Glickman, Caroline Minter Hoxby, and Andrew Metrick took an alternative approach of analyzing the college choices of 3240 high-achieving school seniors. They examined the colleges that offered admission along with the colleges that the students chose to attend. The table below lists rankings for a small sample of colleges. Find the value of the rank correlation coefficient and use it to determine whether there is a correlation between the student rankings and the rankings of the magazine. Student ranks 1 2 3 4 5 6 7 8 U.S. News & World Report ranks 1 2 5 4 7 6 3 8 Cumulative Review Exercises Hershey’s Kisses In Exercises 1–10, use the following weights (g) of Hershey’s Kisses from Data Set 38 “Candies” in Appendix B. 4.488 4.781 4.697 4.54 4.458 4.524 4.395 4.513 4.512 4.666 1. Statistics Find the mean, median, range, standard deviation, and variance. Include appropriate units in the answers. 2. Normality Do the weights appear to be from a population having a normal distribution? Explain.
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