Home / Questions / Many drivers of cars that can run on regular gas actually buy premium in the belief that t
Many drivers of cars that can run on regular gas actually buy premium in the belief that they will get better gas mileage. To test that belief, we use 10 cars from a company fleet in which all the cars run on regular gas. Each car is filled first with either regular or premium gasoline, decide by coin toss, and the mileage for that tankful is recorded. Then the mileage is recorded again for the same cars for a tankful of the other kind of gasoline. We don't let the drivers know about this experiment. Results: Car# 1 2 3 4 5 6 7 8 9 10 Reg 16 20 21 22 23 22 27 25 27 28 Prem 19 22 24 24 25 25 26 26 28 32 a. is there evidence that cars get significantly better fuel economy with premium gasoline b.How big might that difference be? Check a 90% confidence interval c. Even if the difference is significant why might the company choose to stick to regular gas d If the data was treated as two independent samples instead of matched pairs. What would the significance test have found Pre
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