This is an exercise using Excel. (a) Use =RANDBETWEEN(0,99) to create 20 samples of size n = 4 by choosing two-digit random numbers between 00 and 99. (b) For each sample, calculate the mean. (c) Make...

This is an exercise using Excel. (a) Use =RANDBETWEEN(0,99) to create 20 samples of size n = 4 by choosing two-digit random numbers between 00 and 99. (b) For each sample, calculate the mean. (c) Make a histogram of the 80 individual X-values using bins 10 units wide (i.e., 0, 10, 20,..., 100). Describe the shape of the histogram. (d) Make a histogram of your 20 sample means using bins 10 units wide. (e) Discuss the histogram shape. Does the Central Limit Theorem seem to be working? (f) Find the mean of the sample means. Was it what you would expect by the CLT? Explain. (g) Find the average standard deviation of the sample means. Was it what you would expect by the CLT?