Let X1, X2, , Xn and Y1, Y2, , Ym be independent random samples drawn from normal distributions with means X and Y, respectively, and with the same known variance 2 Use the generalized likelihood ratio criterion to derive a test procedure for choosing between H0 X Y and H1 X Y ...

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Let X1, X2, . . . , Xn and Y1, Y2, . . . , Ym be

Question:

Let X1, X2, . . . , Xn and Y1, Y2, . . . , Ym be independent random samples drawn from normal distributions with means μX and μY, respectively, and with the same known variance σ2.Use the generalized likelihood ratio criterion to derive a test procedure for choosing between H0: μX = μY and H1: μX ≠ μY.