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Given the sample $(-4.4, 4.0,0,-4.8)$ from a normal population with variance 4 and the sample $(6.0,1.0,3.2,-0.4)$ from a normal population with variance 5, test at

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Given the sample $(-4.4, 4.0,0,-4.8)$ from a normal population with variance 4 and the sample $(6.0,1.0,3.2,-0.4)$ from a normal population with variance 5, test at the $0.05$ level that the means differ by no more than one unit. Plot the power function for this test SP.SS.383

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