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3. According to a government agency, the average workweek for an adult in july 2021 was 35.2 hours with a standard deviation for the number

3. According to a government agency, the average workweek for an adult in july 2021 was 35.2 hours with a standard deviation for the number of hours worked per week is 12.5 hours. Assuming the number of hours worked per week is normally distributed.

a. Would it be reasonable to assume that the distribution of sample mean for 20 adults in July 2021 is roughly normal?

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