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Let N =6 and n=3. For purposes of studying sampling distributions, assume that all population values are known.

We are interested in U, the population mean. Two sampling plans are proposed.

Plan 1. Eight possible samples may be chosen.

Plan 2. Three possible samples may be chosen.

a. What is the value of U?

b. Let y be the mean of the sample values. For each sampling plan, find

c. Which sampling plan do you think is better? Why?