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Name: Wit: SAMPLING DISTRIBUTION EXERCISE The average length of a hospital stay in general or community hospitals in the United States is 6 days Assume that the population standard deviation is 7.7 days. A simple random sample of 49 patients is drawn from this population. 1. What is the sampling distribution of the sample mean? 2. What is the probability that the average length of stay for this group of patients will be no more thana week? 3. What is the probability that the length of stay of a patient randomly selected from this group of patients will be no more than a week? (Assume the population follows a Normal distribution.) 4. What is the probability that the average length of stay for the group of 49 patients will be strictly less than a week?
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