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A Hypothesis test to determine is patient care exceeds 45 hours per week

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The American Medical Association conducts surveys of its members each year. A sample of physicians is selected and asked to report the amount of time each devotes to patient care each week. The results for the survey are stored in the excel file. Can we infer that the mean amount of time devoted to patient care per week by all physicians exceeds 45 hours?

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Solution Summary

The following involves a hypothesis test to determine if the mean amount of time devoted to patient care exceeds 45 hours per week. A set of data is provided in Excel. A t-test is performed and all formulas are provided.

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Solution:
We can use the t-test to test if the the mean amount of time exceeds 45 hours.
I establish the test statistics and null hypothesis and our decision rule as following;
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