There is a population of five people.They were each asked how many movies they saw in the last year.Amy saw one (1), Bob saw seven (7), Clara saw thirteen (13), Dora saw nineteen (19), and Earl saw twenty-five (25).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 means of the last three columns.To calculate the averages of the columns, you should put the data in a frequency table and then calculate the mean using the table.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 also need to calculate the variance of the population.

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.Look at the values of the numbers.Which one of these means is special?Why?

Thus you will have six distinct parts:1)the mean of the sample means;2)the mean of the variances (using n in the formula's denominator);3)the mean of the variances (using n-1 in the formula's denominator);4)the variance of the population;5)an explanation of what the averages are (besides just saying they are the averages of the columns);