The average length of a hospital stay in the US is µ = 9 days with standard deviation of σ = 3 days. Assume a simple random sample of 100 patients is obtained and the mean stay for 100 patients is obtained. a) State the condition(s) that the sample mean of hospital stays follows a normal distribution.   b) What is the mean and standard deviation of the sampling distribution of the sample mean for samples of size 100.   c) What is the probability to obtain a sample mean less than 9.6 days? Use Rguroo

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