Question: 1. (Ex.8.3.6) Let X1 , X 2 , , X,I be a random sample from the normal distribution N (9,1). Show that the likelihood ratio

1. (Ex.8.3.6) Let X1 , X 2 , , X,I be a random sample from the normal distribution N (9,1). Show that the likelihood ratio principle for testing H 0 :3 = 6' , where 6' is specied, against H1 :6 at 9' leads to the inequaJity | a" 2 c. (a) Is this a uniformly most powerful test of H0 against H1? (b) Is this a uniformly most powerful unbiased test of H 0 against H1

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