A population has a mean of 400 and a standard deviation of 100. A sample of size

Question:

A population has a mean of 400 and a standard deviation of 100. A sample of size 100,000 will be taken, and the sample mean x̅ will be used to estimate the population mean.

a. What is the expected value of x̅?

b. What is the standard deviation of x̅?

c. Show the sampling distribution of x̅.

d. What does the sampling distribution of x̅ show?

Distribution
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