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# Hypothesis Testing of Mean: Sleep per night

Each response must include your calculations.
This problem requires you to complete all steps for the hypothesis testing process.

According to a recent survey, Americans get a mean of 7 hours of sleep per night. A random sample of 50 students at West Virginia University revealed the mean number of hours slept last night was 6 hours and 48 minutes (6.8 hours). The standard deviation of the sample was 0.9 hours.

Complete the following: (show your work to the right)

a. Is it reasonable to conclude that students at West Virginia sleep less than the typical American? Use a = .05. Justify your answer with the hypothesis testing process.

b. Compute and interpret the p-value. Report the p-value to 4 decimal places.

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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