Question

A federal watchdog is investigating an advertising claim that a certain device reduces gasoline consumption in cars. Seven devices have been tested and installed in cars belonging to the institution. To compare performance under standard conditions, the miles each car travels with a gallon of gasoline are measured in both situations, before and after installation.

Automobiles	1	2	3	4	5	6	7
Mpg before	19.1	19.9	17.6	20.2	23.5	26.8	21.7
Mpg after	20.0	23.7	18.7	22.3	23.8	19.2	24.6

Would you say that the federal monitoring body has conclusively proven that the device has no effect on the performance of cars?

Formulate the appropriate null hypothesis and alternative, with a α = 0.025. Your work should have detailed procedure and appropriate analysis.

Answer 1

As we fail to reject H0 at 2.5% los, we conclude that the claim is false that the certain device reduces gasoline consumption in cars.

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