Question: A simple random sample of size n=20 is obtained from a population with \(\mu \) =64 and \(\sigma \) =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 this is true, describe the sampling distribution of x (x bar with the line over it).

b. assuming what you said in part a is true, compute P ( \(\bar{X}\ge \) 65.2)