Question

In order to test the effect of Gasohol on mileage, a research agency randomly selected two...

In order to test the effect of Gasohol on mileage, a research agency randomly selected two compact cars (same model) from each of four major manufacturers. Gasohol was used in one of each type of car and unleaded used in the rest. The mileage results for each car-fuel combination are given below.

Car

Gasohol

Unleaded

Dodge

31.5 mpg

30.3 mpg

Chevy

28.9 mpg

31.2 mpg

Ford

34.5 mpg

32.8 mpg

VW

37.2 mpg

35.7 mpg

We would like to construct a 95% confidence interval for the difference in average mileage between gasohol and unleaded gasoline.

  1. Construct the confidence interval assuming the population of differences of gas mileages is normal.

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