Pacific: 229,634 Mountain: 89,816 West South Central: 177,336

West North Central: 64,564 East North Central: 26,384 East South Central: 68,440

South Atlantic: 376,034 Middle Atlantic: 41,441 New England: 8,579

a.) Calculate the mean and standard deviation for the population.

b.) Now take 10 samples of size 3 from the population. Use sample random sampling to identify your samples. Calculate the mean for each sample.

c.) Once you have calculated the mean for each sample, calculate the mean of means (i.e., add up your 10 sample means and divide by 10). How does this mean compare with the mean for all states?

d.) How does the value of the standard deviation that you calculated in Exercise 8a compare with the value of the standard error (i.e., the standard deviation of the sampling distribution)?

e.) Construct two histograms, one for the distribution of values in the population and the other for the various sample means taken from Exercise 8b. Describe and explain any differences you observe between the two distributions.

f.) It is important that you have a clear sense of the population that we are working with in this exercise. What is the population?