Question: 4. Let Xl' .. . ' X be a sample from N (~, (12). Denote the power of the one-sided r-test of H: 0 against

4. Let Xl' .. . ' X" be a sample from N (~, (12). Denote the power of the one-sided r-test of H: 0 against the alternative ~/o by fJa/o), and by fJ*(~/o) the power of the test appropriate when 0 is known. Determine fJa/o) for n = 5,10,15, a = .05, ~/o = 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, and in each case compare it with fJ*(~/o) Do the same for the two-sided case.

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