A company claims that you can expect your car to get one mpg better gas mileage while using their gasoline additive. A magazine did a study to find out how much a car's gas mileage improved while using the gasoline additive. The study used 36 cars and recorded the average mpg with and without the additive for each car in the study. The cars with the additive averaged 1.20 mpg better than without and had a variance of 0.36 (mpg)².
A) Specify the competing hypotheses to determine if the gasoline additive improved gas mileage by at least one mpg. Use the matched-pairs sampling.
B) Calculate the value of the test statistic and the critical value.
C) Make a conclusion at the 5% significance level.

Question

Quizplus · Accepted Answer

The Answer of A company claims that you can expect your car to get one mpg better gas mileage while using their gasoline additive. A magazine did a study to find out how much a car's gas mileage improved while using the gasoline additive. The study used 36 cars and recorded the average mpg with and without the additive for each car in the study. The cars with the additive averaged 1.20 mpg better than without and had a variance of 0.36 (mpg)². A) Specify the competing hypotheses to determine if the gasoline additive improved gas mileage by at least one mpg. Use the matched-pairs sampling. B) Calculate the value of the test statistic and the critical value. C) Make a conclusion at the 5% significance level.

A Company Claims That You Can Expect Your Car to Get