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It is commonly believed that the weekly working hours of resident doctor has the mean of 72 hours with a standard deviation of 14 hours.

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It is commonly believed that the weekly working hours of resident doctor has the mean of 72 hours with a standard deviation of 14 hours. A research team did not agree, and took a random sample of 49 resident doctors. The sample produced a mean of 79 hours. Test the research team's claim with a significance level of .01. (Show all the steps of hypothesis testing)

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