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? Describe the shape of the
sampling distribution.
b. What is the approximate probability that will be within 0.5 of the population mean μ?
c. What is the approximate probability that will differ from μ by more than 0.7?
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