An experiment was initiated to study the effect of a newly

Chapter , Problem 6

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An experiment was initiated to study the effect of a newly developed gasoline detergent on automobile mileage. The following data, representing mileage per gallon before and after the detergent was added for each of eight cars, resulted. Mileage Mileage Car without Additive with Additive 1 24.2 23.5 2 30.4 29.6 3 32.7 32.3 4 19.8 17.6 5 25.0 25.3 6 24.9 25.4 7 22.2 20.6 8 21.5 20.7 Find the p-value of the test of the hypothesis that mileage is not affected by the additive when (a) the sign test is used; (b) the signed rank test is used.

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