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If 1 and 2 are the means of independent random

If 1 and 2 are the means of independent random samples of sizes n1 and n2 from a normal population with the mean µ and the variance σ2, show that the variance of the unbiased estimator

Is a minimum when ω = n1 / n1 + n2

Is a minimum when ω = n1 / n1 + n2

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