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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. Use the definitions of X 1 and X 2 as given in the table. Consequently, D = X 1 -X 2 .
-What critical value should be used at α = 0.05?
A) -2.447
B) -2.365
C) -1.943
D) -1.895

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Use the following to answer questions 
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. Use the definitions of X 1 and X 2 as given in the table. Consequently, D = X 1 -X 2 . 
-What critical value should be used at α = 0.05?
A) -2.447 
B) -2.365 
C) -1.943 
D) -1.895

Quizplus · Accepted Answer

The critical value for a two-tailed test at α = 0.05 is approximately -1.96 for a standard normal distribution. Option C, -1.943, is the closest to this value.

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