Randomly selected consumers in four cities have been interviewed as part of a study by a shoe retailer. Each consumer reported the number of pairs of shoes in his or her closet (each line represents one city) (Table 8.6.5):
a. Estimate the mean number of pairs of shoes for the population representing all four cities combined.
b. Find the standard error for your answer to part a.
c. Find the standard error with and without use of the finite-population correction factor, and compare. Why are they so similar?

TABLE 8.6.5 Sample Results for Shoes in Four Cities Population Size 3,638,815 6,899,665 9,608,853 Sample Size 200 200 250 200 Sample Average (number of pairs of shoes) 13.77 12.72 Sample Standard Deviation 13.57 12.11 12.34 14.99 8.79 709,212 10.43