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2.3 (Simple Random Sampling With Replacement (Part (ii))) (a) Show that Z is an unbiased estimator of Î¼ 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 â‰¥ 2 and Ïƒ^2 > 0. Show that V(ym) > V(Î¼) and V(z) > V(Î¼), where Î¼ 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 â‰¤ i â‰¤ N. We can rewrite Z as Z = âˆ‘(Yi / n)

2.3 (Simple Random Sampling With Replacement (Part (ii))) (a) Show that Z is an unbiased estimator of Î¼ with V(Z) given in (2.3). Hint: Find V(Zk) first. (b) Let Ym and Z be the two

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