Suppose that a random sample of size 64 is to be selected fr

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

(a) What are the mean and standard deviation of the sampling distribution?
_x =
_x =

(b) What is the approximate probability that x will be within 0.3 of the population mean ? (Round your answer to four decimal places.)
P =

(c) What is the approximate probability that x will differ from by more than 0.8? (Round your answer to four decimal places.)
P =

Solution