How to conduct matched pairs experiments - AP Statistics

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Question

An company wants to test how much a fuel additive improves the fuel efficiency of cars and has cars of various makes and models available to test. Which experimental design would be most appropriate?

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Answer

A matched pairs design t test is the best choice because it will compare the effectiveness of the fuel additive by looking at the means differences of two sample sets where the only variable that is changed from one test to the other test is the introduction of the fuel additive. It makes no sense to compare the performance of, for example, a Ford Mustang with the additive against a Toyota Prius hybrid without the additive. It becomes crucial to compare fuel efficiency with and without the fuel additive for each car.

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