Question: Answer this question Let X1, . . . ,Xn be a random sample from a n(9,02) population. Consider testing Ho:61$0$93 versus H1:992. (a) Show that

Answer this question

Let X1, . . . ,Xn be a random sample from a n(9,02) population. Consider testing Ho:61$0$93 versus H1:992. (a) Show that the test reject Ho if 1? > 92 + tn_1,a/2\\st or J? Ia/Sz. where 5 a (31 + 92)]2. (c) Show that the tests in parts (a) and (b) are unbiased of their size. (Assume that the noncentralt distribution has an MLR.)

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