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?
μx = ___
σx = ___
(b) What is the approximate probability that x will be
within 0.3 of the population mean μ? (Round your answer to
four decimal places.)
P = __
(c) What is the approximate probability that x will differ
from μ by more than 0.7? (Round your answer to four
decimal places.)
P = ___
You may need to use the appropriate table in Appendix A to answer
this question.
