Let X1,X2 be a random sample of size 2 from the U 0, distribution We want to test H0 3 against H1 2 (observe that H0 and H1 do not exhaust all possibilities) (i) H0 will be rejected if X

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Question: Let X1,X2 be a random sample of size 2 from the U[0,] distribution. We want to test H0 : = 3 against H1 :

Let X1,X2 be a random sample of size 2 from the U[0,θ] distribution. We want to test H0 : θ = 3 against H1 : θ = 2 (observe that H0 and H1 do not exhaust all possibilities). (i) H0 will be rejected if X

c. (iii) Compare the power functions of both tests.

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