1) Explain the relationship between the population mean , sample mean , and a value of the sample mean . Which is the population parameter, which is an estimate, and which is an estimator?

2) Explain in plain English why the standard deviation of the sample mean becomes smaller when the sample size increases

3) Does the sample size affect the mean of all possible sample means? Explain your answer.

4) Does the sample size affect the standard deviation of all possible sample means? Explain your answer.

5) What does the central limit theorem tell us?

6) Do we need the population to be normal or the sample size to be large to claim that = and = ? Explain your answer.