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Suppose that we are given a sample of size n=50 from a population with population mean 40 and population variance 10. a. What is the

Suppose that we are given a sample of size n=50 from a population with population mean 40 and population variance 10.

a. What is the mean of the sample mean?

b. What is the variance of the sample mean?

c. Is it appropriate to use a normal distribution as an approximation for the data from the population?

d. Is it appropriate to use a normal distribution as an approximation for the distribution of the mean?

e. Is it appropriate to use a normal distribution as an approximation for the distribution of the sample variance?

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