Suppose x+r denotes the sample mean in a sample of size r, and
x+r ~ N( µ = 350, σ2 / r).
(i) If r < s, what is the efficieny of x+r relative to x+s ?
(ii) Consider the pooled mean obtained by mixing two samples of size r
and size s. What is the efficiency of the pooled mean relative to x+r ?
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