Question: 13.2.4 Let X I , X2 be a random sample of size 2 from the U[O, 61 distribution. We want to test HO : 6

13.2.4 Let X I , X2 be a random sample of size 2 from the U[O, 6’1 distribution. We want to test HO : 6’ = 3 against H1 : 6’ = 2 (observe that Ho and H1 do not exhaust all possibilities). (i) HO will be rejected if x <

c. Find c such that the probability of a type I error of the test is a = 0.05 and determine its power function. (ii) Answer

(i) if HO will be rejected when X2:2 <

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

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