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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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