In: Statistics and Probability
How do competing airline carrier fares compare? A frequent flyer investigated round-trip fares for non-stop travel from Philadelphia to 10 different U.S. destinations on Southwest Airlines and US Airways. The following data was collected:
Southwest Fare ($) |
US Airways Fare ($) |
706 |
706 |
718 |
674 |
980 |
980 |
1078 |
1284 |
654 |
654 |
820 |
748 |
820 |
728 |
832 |
822 |
1114 |
1918 |
1138 |
1918 |
a. At the .05 level of significance, is there evidence of a difference in the mean round-trip fare between Southwest Airlines and US Airways?
b. What assumption is necessary about the population distribution in order to perform this test?