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 s2-25. The sample of sedans returns a sample mean Y 36 with a sample variance of s 49. Let be the population mean of compacts and ?2 for sedans. a. Create a 95% confidence interval for . b. Now create a 95% confidence interval for ?1-112 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.