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5. We have two independent samples of n observations X1,X2-…Xn and Yi,½, . …Ý, We want to test the hypothesis H0 : μ®-ty versus the alternative H1 : μζ μυ. (a) First, assume that the null hypothesis H0 is true and find the MLE for μ- - y. (b) Then plug this estimate into the log likelihood along with the MLBs μτ-x and μ to calculate the LRT statistic. (c) Is this likelihood ratio test equivalent to the test that rejects the null hypothesis when (2 - j)2> c? Justify your answer.

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