In Exercises 5–8, use the relatively small number of given bootstrap samples to construct the confidence interval. Freshman 15 Here is a sample of amounts of weight change (kg) of college students in their freshman year (from Data Set 6 “Freshman 15” in Appendix B): 11, 3, 0, −2, where −2 represents a loss of 2 kg and positive values represent weight gained. Here are ten bootstrap samples: {11, 11, 11, 0}, {11, −2, 0, 11}, {11, −2, 3, 0}, {3, −2, 0, 11}, {0, 0, 0, 3} {3, −2, 3, −2}, {11, 3, −2, 0}, {−2, 3, −2, 3}, {−2, 0, −2, 3}, {3, 11, 11, 11}. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. b. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the standard deviation of the weight changes for the population.
In Exercises 5–8, use the relatively small number of given bootstrap samples to construct the confidence interval.
Freshman 15 Here is a sample of amounts of weight change (kg) of college students in their freshman year (from Data Set 6 “Freshman 15” in Appendix B): 11, 3, 0, −2, where −2 represents a loss of 2 kg and positive values represent weight gained. Here are ten bootstrap samples: {11, 11, 11, 0}, {11, −2, 0, 11}, {11, −2, 3, 0}, {3, −2, 0, 11}, {0, 0, 0, 3} {3, −2, 3, −2}, {11, 3, −2, 0}, {−2, 3, −2, 3}, {−2, 0, −2, 3}, {3, 11, 11, 11}.
a. Using only the ten given bootstrap samples, construct an 80% confidence
b. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the standard deviation of the weight changes for the population.
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