Question: Three randomly selected households are surveyed as a pilot project for a larger survey to be conducted later. The numbers of people in the households are 1,3,and 9. Consider the values of 1,3, and 9 to be a population. . Assume that samples of size n = 2 are randomly selected with replacement from the population of 1,3, and 9. The nine different samples are as follows: (1,1), (1,3), (1,9), (3,1), (3,3), (3,9), (9,1), (9,3), and (9,9).

(a) Find the SD of each of the nine samples, then summarize the sampling distribution of the SDs in the format of a table representing the prob distribution.

(b) Compare the population SD to the mean of the sample SD.

(c) Do the sample SDs target the value of the population SD? In general, do SDs make good estimators of the population SD? Why or why not?