366 CHAPTER 7 Estimating Parameters and Determining Sample Sizes a. In constructing a confidence interval of m, you have 75 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is not known. b. In constructing a confidence interval estimate of s, you have 75 sample values and they appear to be from a population with a skewed distribution. c. In constructing a confidence interval estimate of s, you have 75 sample values and they appear to be from a population with a normal distribution. d. In constructing a confidence interval estimate of p, you have 1200 survey respondents and 5% of them answered “yes” to the first question. e. In constructing a confidence interval estimate of p, you have 20 survey respondents and 5% of them answered “yes” to the first question. 6. Flight Delays Listed below are arrival delays (minutes) of randomly selected American Airlines flights from New York (JFK) to Los Angeles (LAX). Negative numbers correspond to flights that arrived before the scheduled arrival time. Construct a 95% confidence interval estimate of the mean arrival delay time. How good is the on-time performance? 28 103 19 -5 -46 13 -3 13 7. Flight Delays Use the data from the preceding exercise to construct a 95% confidence interval estimate of s. 8. Bootstrap Repeat Exercise 7 using 1000 bootstrap samples. 9. Alcohol in Children’s Movies Listed below is a simple random sample of times (seconds) that animated children’s movies showed the use of alcohol (based on Data Set 20 “Alcohol and Tobacco in Movies” in Appendix B). a. Are the requirements for constructing a 95% confidence interval estimate of the population mean m satisfied? If so, construct that confidence interval. b. Are the requirements for constructing a 95% confidence interval estimate of the population standard deviation s satisfied? If so, construct that confidence interval. 39 0 0 0 0 28 0 74 0 0 0 0 5 0 72 73 0 13 38 46 0 7 0 3 123 76 0 0 414 34 0 0 0 39 142 0 10. Arm Circumferences Listed below are arm circumferences (cm) of randomly selected women (based on Data Set 1 “Body Data” from Appendix B). Also shown is the normal quantile plot of those measurements. a. Are the requirements for constructing a 95% confidence interval estimate of the population mean m satisfied? If so, construct that confidence interval. b. Are the requirements for constructing a 95% confidence interval estimate of the population standard deviation s satisfied? If so, construct that confidence interval. 33.5 26.6 36.5 29.9 32.0 29.0 29.0 23.7 35.1 25.2
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