A researcher wanted to study the effect of a newly developed gasoline additive {Additive X) on automobile mileage [miles per gallon, MPG]. To gather...

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A researcher wanted to study the effect of a newly developed gasoline additive {Additive X) on automobile mileage [miles per gallon, MPG]. To gatherInformation, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and whengasoline without Additive X la used. The order of the two treatments {with Additive X versus without Additive X] was randomized and care was taken sothat there was no carry over effect between the two MPG measurements. The 95% confidence interval for the mean mileage Improvement‘ pd for the population of all such cars was found to be 11 MPG. 4 MPG}. The 99% confidence interval for the mean mileage lmprovement‘ pd for the population of all such cars was found to be 10.5 MPG, 4.5 MPG]. * Improvement is defined as the difference in MPG for cars uelng gasoline with Additive X lees gasoline without Additive X.