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[See Solution] A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected;

Question: A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster. Test the researcher's claim using α = 0.05 . When answering this problem, don't forget to (a) state H0 and HA, (b) state the critical value or values, (c) compute the test statistic, and (d) make a decision and state your conclusion in the context of the problem.

Without With
21.2 23.8
25.4 25.1
20.9 22.4
27.6 28.3
22.8 24.5
27.3 27.3
23.4 25.2

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