Write an appropriate hypothesis test for this situation and state the testing procedure appropriate to this circumstance. Compute the necessary summary statistics for the test in part (a). Perform the t-test and report the p-value. Interpret your results in conclusion
Q1: 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 in a company fleet in which all the cars run on regular gas. Each car is filled first with either regular or premium gasoline, decided by a coin toss, and the mileage for that tank-full is recorded. Then the mileage is recorded again for the same cars for a tank-full of the other kind of gasoline. We don’t let the drivers know about this experiment. Here are the results in miles per gallon:
|
Regular |
Premium |
|
16 |
19 |
|
20 |
22 |
|
21 |
24 |
|
22 |
24 |
|
23 |
25 |
|
22 |
25 |
|
27 |
26 |
|
25 |
26 |
|
27 |
28 |
|
28 |
32 |
Is there evidence that cars get significantly better fuel economy with premium gasoline? Use 0.05 level of significance and a test.
- Write an appropriate hypothesis test for this situation and state the testing procedure appropriate to this circumstance.
- Compute the necessary summary statistics for the test in part (a).
- Perform the t-test and report the p-value.
- Interpret your results in conclusion
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