"Please do not post homework questions, and please ignore any that
are posted."
--- Someone wrote:
> The salary of Canadian persons has mean � and variance σ^2.
> Two independent samples are drawn, one is of size m and the other
> of size n.
> Let the sample means be �Xn and �Xm. Now consider the two
> estimators of �
>
> �1 = 2/3X(bar)m + 1/3X(bar)n
>
> �2 = m/m+n X(bar)m + n/m+n X(bar)n
>
> (a) Show that both estimators are unbiased.
> (b) Derive the variance of each of the estimator
> (c) Derive the mean squared error of these estimator
> (d) Suppose that m = n which estimator is more efficient
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