# Question

Consider the percent change in revenues for the five largest soap and cosmetics firms as shown in Table 8.6.3. View this list as a (very small!) population with just N = 5 units. Consider drawing samples of size n = 2.

a. Make a list of all possible samples of size 2 that might be chosen. (Hint: There are 10 such samples.) For each sample, find the average.

b. Construct a histogram of the 10 sample averages from part a. This is the sampling distribution of the sample average.

c. Select a random-sample of size 2 from the population by starting with the number in row 26, column 4 of the table of random digits. Find the sample average.

d. Indicate where the average (from part c) falls with respect to the sampling distribution (from part b).

e. Write a paragraph explaining how “drawing a random sample from the population and finding the average” gives essentially the same result as “drawing a number from the sampling distribution of the average.”

a. Make a list of all possible samples of size 2 that might be chosen. (Hint: There are 10 such samples.) For each sample, find the average.

b. Construct a histogram of the 10 sample averages from part a. This is the sampling distribution of the sample average.

c. Select a random-sample of size 2 from the population by starting with the number in row 26, column 4 of the table of random digits. Find the sample average.

d. Indicate where the average (from part c) falls with respect to the sampling distribution (from part b).

e. Write a paragraph explaining how “drawing a random sample from the population and finding the average” gives essentially the same result as “drawing a number from the sampling distribution of the average.”

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