(a) Let X, S2 be the sample mean and variance of a simple random sample of size n from a population with mean and

(a) Let X, S2 be the sample mean and variance of a simple random sample of size n from a population with mean μ and variance σ2, respectively. Give the standard error and the estimated standard error of X.

(b) Given the information that n = 36 and S = 1.3, compute the estimated standard error of X.