There is a population of five people. They were each asked how many movies they saw in the last month.

There is a population of five people. They were each asked how many movies they saw in the last month. Amy saw two (2), Bob saw five (5), Clara saw eight (8), Dora saw eleven (11), and Earl saw fourteen (14). We are going to look at every single possible sample of size three (with replacement). Your first column will be a list of every single sample (e.g., Amy, Amy, and Amy - or AAA - Amy, Amy, and Bob - or AAB - et cetera). The second column will list the mean of each sample; the third column will list the variance of each sample (using N in the denominator); and the fourth column will list the variance of each sample (using N-1 as the denominator). You then need to calculate the mean of the last three columns. To calculate the averages of the columns, you may use a calculator. You do not have to do that by hand, but I do not want you to use Excel or any other spreadsheet program to do the extra credit. It will take only a bit longer to do it by hand. You will also have to explain what you are doing (what each column is, what the average of each column is, and why these column averages are important). Again: Part of the assignment is to explain what the average of each column is and why it is important.