Suppose that you are interested in X, the gasoline mileage (in miles per gallon) of a particular

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Suppose that you are interested in X, the gasoline mileage (in miles per gallon) of a particular brand of gasoline. You decide to test H0:n = 20 against Hii/x 20.

Assuming that X is normally distributed with variance 16, that N = 25, and that a = .01, find the region of rejection. What is the power of this test against a true mean of 22? Against what other possible value of /x does the test have exactly the same power?

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