If X1, X2, , Xn and Y1, Y2, , Ym are independent random samples from normal distributions with the same 2, prove that their pooled sample variance, s2p, is an unbiased estimator for 2

Question: If X1, X2, . . . , Xn and Y1, Y2, . . . , Ym are independent random samples from normal distributions with the

If X1, X2, . . . , Xn and Y1, Y2, . . . , Ym are independent random samples from normal distributions with the same σ2, prove that their pooled sample variance, s2p, is an unbiased estimator for σ2.

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