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A study was conducted in which two types of engines, A and B, were compared.Gas mileage,...

A study was conducted in which two types of engines, A and B, were compared.Gas mileage, in miles per gallon, was measured. 36 experiments were conducted using engine type A and 49 experiments were done with engine type B. The gasoline used and other conditions were held constant. The average gas mileage was 26 miles per gallon for engine A and 32 miles per gallon for engine B. Find a 90% confidence interval on μB − μA, where μA and μB are population mean gasmileages for engines A and B, respectively. Assume that the population standarddeviations are 6 and 8 for engines A and B, respectively.

A. 3.51 to 8.49

B. 26 to 32

C. 5.05 to 6.95

D. 3.41 to 8.58

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