Question: 8.13 Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. a.

8.13 ▼ 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 x sampling distribution? Describe the shape of the x sampling distribution.

b. What is the approximate probability that x will be within 0.5 of the population mean m? (Hint:
See Examples 8.5 and 8.6.)

c. What is the approximate probability that x will differ from m by more than 0.7?

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