Simple Random Sampling: 6 Basic Steps With Examples
Simple Random Sampling: 6 Basic Steps With Examples
6 months ago
investopedia.com
SOLVED:Consider simple random sampling with replacement. a. Show that s^2=(1)/(n-1) ∑i=1^n(Xi-X̅)^2 is an unbiased estimate of σ^2 b. Is s an unbiased estimate of σ? c. Show that n^-1 s^2 is an unbiased estimate of σ(2)/(X) d. Show that n^-1 N^2 s^2 is an unbiased estimate of σT^2 e. Show that p̂(1-p̂) /(n-1) is an unbiased estimate of σp̂^2
SOLVED:Consider simple random sampling with replacement. a. Sho…
Sep 11, 2023
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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)
2.3 (Simple Random Sampling With Replacement (Part (ii))) (a) Show t…
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