I only need answer for part (c), please DO NOT screenshoot the existing answer in Chegg.

1. (Adapted from Exercise 7.3 of Scheaffer et al. (2012)) A retail store with four departments has charge accounts arranged by department, with past- due accounts at the top of each departmental list. Suppose the depart- ments average around ten accounts each, with approximately 40% past due. On a given day the accounts might appear as shown in the accom- panying table (with account numbers 1 through 40). The store wishes to estimate the proportion of past-due accounts by systematic sampling. Account numbers Delinquent accounts 1-11 1,2,3,4 12-20 12, 13, 14 21-28 21, 22, 23, 24, 25 29-40 29, 30, 31, 32 Table 1: Retail Store Accounts Study Data (a) List all possible 1-in-10 systematic samples and compute the exact variance of the sample proportion. (b) List all possible 1-in-5 systematic samples and compute the exact variance of the sample proportion. (c) Compare the result in part (a) with an approximate variance ob- tained in a SRS sample of size n = 4 from this population. Similarly, compare the result in part (b) with that obtained from a SRS with n = 8. Can you explain what is going on