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3. The average length of a hospital stay in the US is mu = 16 days with standard deviation of sigma = 9 days. Assume

3. The average length of a hospital stay in the US is mu = 16 days with standard deviation of sigma = 9 days. Assume a simple random sample of 144 patients and the mean stay for that sample is obtained. What is the probability that the average length of stay for this group of patients will be less than 14 days? Show all your work.

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