Researches are interested in whether or not the average fuel economy for compact cars is the same as sedan cars. A sample of 36 compact cars and 25 sedan cars is taken. The sample of compacts returns a mean of ̄X = 38 miles per gallon and sample variance of s^2 = 25. The sample of sedans returns a sample mean ̄Y = 36 with a sample variance of s^2 = 49. Let μ 1 be the population mean of compacts and μ 2 for sedans. a. Create a 95% confidence interval for μ 1 . b. Now create a 95% confidence interval for μ 1 μ 2 . c. Say the interval from part b. contains 0. What can you say about the difference in the average fuel economy of compact cars versus economy cars

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