Example 3: Brandon runs a local gym and was interested in determining how many hours per week on average his members spend working out. He randomly sampled 72 of his members and found that they spent an average of 11.4 hours per week working out. Assume it is known that the true standard deviation is 3.6 hours. a) Construct and interpret an 85% confidence interval for the true average number of hours per week that Brandon's members spend working out. b) How would the interval that you created in part (a) compare to an 80% confidence interval for the same parameter? Calculate the new interval to justify your answer. c) How would the interval that you created in part (a) compare to a 95% confidence interval for the same parameter? Calculate the new interval to justify your answer.

Example 3: Brandon runs a local gym and was interested in determining how many hours per week on average his members spend working out. He randomly sampled 72 of his members and found that they spent an average of 11.4 hours per week working out. Assume it is known that the true standard deviation is 3.6 hours. a) Construct and interpret an 85% confidence interval for the true average number of hours per week that Brandon's members spend working out. b) How would the interval that you created in part (a) compare to an 80% confidence interval for the same parameter? Calculate the new interval to justify your answer. c) How would the interval that you created in part (a) compare to a 95% confidence interval for the same parameter? Calculate the new interval to justify your answer.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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