Question: Please help me if you have the answer 4. Let X1, X2, . . . , Xm and Yl, Y2, . .., Yn be in-

Please help me if you have the answer

4. Let X1, X2, . . . , Xm and Yl, Y2, . .., Yn be in- dependent random samples from two nor- mal distributions N(ul, 02) and N (u2, 02), re- spectively, where o' is the common but un- known variance. a. Find the likelihood ratio A for testing Ho : M1 = M2 = 0 against all alternatives. b. Rewrite A to a function of a statistic with known distribution. c. Find a critical region of size a. 2

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