Chapter 8.1, Problem 4E

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

1. a. Compute the mean of this population.
2. 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. Calculate the mean for your sample.
3. c. Repeatedly select random samples of size 2, and calculate the x̄ value for each sample until you have the x̄ values for 25 samples.
4. d. Construct a density histogram using the 25 x̄ values. Are most of the x̄ values near the population mean? Do the x̄ values differ a lot from sample to sample, or do they tend to be similar? (Hint: See Example 8.1.)