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n 4. (10 marks) Suppose Y, Y.,,..., Y is a random sample of independent and identically distributed Normal (, = 20+1,2 = 0) random

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n 4. (10 marks) Suppose Y, Y.,,..., Y is a random sample of independent and identically distributed Normal (, = 20+1,2 = 0) random variables. a) (5 marks) Construct an exact two-sided (1 - a)100% C.I. for based on only Y. b) (5 marks) Consider the test H: 0=2 vs. H :02 based on the rejection region a RR = {Y > 5+k or Y

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