A senior manager, responsible for a group of 120 junior executives, is interested in the total amount of time per week spent by these people in internal meetings. A random sample of 35 of these executives was asked to keep diary records during the next week. When the results were analyzed, it was found that these sample members spent a total of 143 hours in internal meetings. The sample standard deviation was 3.1 hours. Find a 90% confidence interval for the total number of hours spent in internal meetings by all 120 junior executives in the week.

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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A senior manager, responsible for a group of 120 junior executives, is interested in the total amount of time per week spent by these people in internal meetings. A random sample of 35 of these executives was asked to keep diary records during the next week. When the results were analyzed, it was found that these sample members spent a total of 143 hours in internal meetings. The sample standard deviation was 3.1 hours.
Find a 90% confidence interval for the total number of hours spent in internal meetings by all 120 junior executives in the week.

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