(8.1)

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.

815161112

(a)

Compute the mean of this population.

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(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.

(c)

Repeatedly select random samples of size 2, and calculate thexvalue for each sample until you have thexvalues for 25 samples. Describe your results.

(d)

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