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2.3 (Simple Random Sampling With Replacement (Part (ii))) (a) Show that Z is an unbiased estimator of μ with V(Z) given in (2.3). Hint: Find V(Zk) first. (b) Let Ym and Z be the two versions of the sample mean under SRSWR and assume that n ≥ 2 and σ^2 > 0. Show that V(ym) > V(μ) and V(z) > V(μ), where μ is the population mean, with the sample of size n selected by SRSWOR. Let Yi be the number of times that unit i is selected under SRSWR, 1 ≤ i ≤ N. We can rewrite Z as Z = ∑(Yi / n)
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