Kellen Auto Products road tested its new gasoline additive intended to improve gas mileage in passenger cars. The test used five new Chevrolet Orions and five drivers. Each driver drove his/ her assigned car for 500 miles of ordinary daily driving using the additive and 500 miles using no additive. Whether the driver drove first with the additive or first without the additive was determined randomly for each driver. Results are given in the table.

Treating each driver as a matched pair of subjects, and assuming that the necessary population conditions are satisfied, construct a hypothesis test to test a null hypothesis that the difference in average mpg for the populations represented is 0. Use a significance level of .05.

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Miles Per Gallon (mpg) Test Results Driver Additive No acdditiv 322 29.3 34.5 32.8 36.2 35.7 31.3 3 33.0 38.9