Consider a population consisting of the following five values, which represent the number of DVD rentals during the academic year for each of five housemates:

8……………….14…………..16………10………….11

a. Compute the mean of this population

b. Select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. Compute the mean of your sample.

c. Repeatedly select samples of size 2 and compute the X̅ value for each sample until you have the x values for 25 samples.

d. Construct a density histogram using the 25 X̅ values. Are most of the X̅ values near the population mean? Do the X̅ values differ a lot from sample to sample, or do they tend to be similar?