Sample mean is 12.2 days and sample standard deviation is, Ask an Expert

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Company is interested in evaluating the mean number of days of sick leave taken by its employees. Firm's statistician randomly chooses 100 personnel files and notes number of sick days taken by each employee. Sample mean is 12.2 days and sample standard deviation is 10 days. How many personnel files would director have to choose to evaluate to within 2 days with 99% confidence interval?

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