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Question

1. Let the population be given by {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement.

(a) Calculate μ and σ2.

(b) Obtain the sampling distribution of the sample mean.

(c) Obtain the mean and variance of the sample mean.

2. Find the value of the ?nite population correlation factor for

(a) n = 8 and N = 60.

(b) n = 8 and N = 1000.

(c) n = 15 and N = 60.