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Assume that miles per gallon of gasoline for imported passenger cars (of a given engine displacement) are normally distributed with a known standard deviation of 3.1 miles per gallon, and a comparable figure for domestic vehicles having the same displacement is 4.7 miles per gallon. Suppose that nX = 42 imported and nY = 50 domestic cars are sampled and their average miles per gallon are 23.5 and 20.1, respectively. Find a 99% confidence interval for the difference µX - µY .

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