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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
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 departments average around ten accounts each, with approximately 40% past due. On a given day the accounts might appear as shown in the accompanying table (with account numbers 1 through 40). The store wishes to estimate the proportion of past-due accounts by systematic sampling.

a. List all possible 1-in-10 systematic samples and compute the exact variance of the sample proportion. (Note that there are ten possible values, not all distinct, for the sample proportion, each with probability 110 of occurring.)
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 obtained in a simple random sample of size from this population. Similarly, compare the result in part (b) with that obtained from a simple random sample with . What general conclusions can you make?
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