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12 peints) A study was conducted in which two types of engines, A and B, were compared. Gas mileage, in miles per gallon, was measured. Seventeen experiments were conducted using engine type A and 14 experiments were done with engine type B. For engine A we obtained a sample mean of 48 and a sample standard deviation of 12 miles per gallon For engine B we obtained a sample mean of 42 and a sample standard deviation of 7 miles per gallon a. Find a 99% Confidence interval for the ratio of the two variances(7pts) We want to find a confidence interval for the difference between the two mcans. Is it reasonable to assume equal variancest Explain your answer based on the results you obtained in part a) above.(Spes) b.
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