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Suppose X_{1}, X_{2}, X_{3}, X_{4} is a random sample from exponential distribution having unknown mean \theta >0. We wish to test Ho : θ = 4 vs. H_{1}:\theta =8 . Consider the following tests:

Test 1: Reject H_{0} if and only if X_{1}>7;

Test 2: Reject H_{0} if and only if X1 +X21 /2 > 6.5

Find the power of each test at \theta =9.



Ho : θ = 4




X1 +X21 /2 > 6.5
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2. た, Tめ「 Ho and a cTest the test 1 3 alt Do

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