Question: A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17. (a) What

A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.

(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that the condition is true, describe the sampling distribution of sample mean.

(b) Find P(x < 67.3). (c) Find P(x > 65.2).

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