Using StatKey you are going to construct two distributions of sample means. Select a population distribution that is NOT normal (e.g., the built in Hollywood Movies, Rock Bands, or Baseball Players datasets, or a skewed distribution of your own). Use the same population dataset for each of the following questions.

A. Construct a sampling distribution for the mean with n=5. Include a screenshot of your parent population and sampling distribution here.

B. What are the mean and standard deviation of your sampling distribution in part A?

C. What is the shape of your sampling distribution in part A?

D. Construct a sampling distribution for the mean with n=30. Include a screenshot of your sampling distribution here.

E. What are the mean and standard deviation of your sampling distribution in part D?

F. What is the shape of your sampling distribution in part D?

G. How are your two sampling distributions similar?

H. How are your two sampling distributions different?

I. Describe how your results relate to the Central Limit Theorem.