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Many drivers of cars that can run on regular gas actually buy premium in the bel

ID: 3233076 • Letter: M

Question


Many drivers of cars that can run on regular gas actually buy premium in the belief that they will get better gas mloage To test that belief, 10 cars in a company tont were used All the cars run on regular gas Each car was filled first with either regular or premium gasoline, decided by a coin loss The mileage korthal tark gas was recorded Then the car was filled with the other type of gasoline and the mileage lor that tank of gas was recorded The dilerence mileage between the two engas types of gasoline (premium regular) for the 10 cars was recorded A95% confidence interval was constructed using tho palledt methods (0 535 mpg Wuchof ollowing is the correctinterpretation of this confidence interval? Choose the corect answer below is between o 5 and 35 o A. We are 95% confident that average increase in gas mileage when using regular rather than premium gas pergalon O B. We are 95% confident that average increase in gas mileage when using premium rather than regular gas is between o5 and 35 maes on regular gas, O c. We are 95% sure that 95% of the cars running on premium gas get between 05 and 3 5 maas pergalon more than ofbe cars running Click to select your answer.

Explanation / Answer

Since in the case mentioned above we are taking the difference in mileage (premium-regular) and the confidence interval produced so are both positive(0.5-3.5), it means that premium gets more mileage over regular.

Therefore Option B: We are 95% confident that average increase in gas mileage when using premium rathere than regular gas is between 0.5 and 3.5

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