Homework SourseThe data below consists of matched pairs of airline ticket p
The data below consists of matched pairs of airline ticket prices (to and from the same airport) for two airlines. (Assume that the population of differences has a distribution that is far from normal.)
a. With .05 significance, use the Sign Test to test the claim that Airline B tends to have higher ticket prices than Airline C.
b. With .05 significance, use the Wilcoxon Signed-Ranks test to test the claim that Airline B tends to have higher ticket prices than Airline C.
| Airline B | Airline C |
| 999 | 710 |
| 825 | 444 |
| 1006 | 927 |
| 899 | 580 |
| 1025 | 826 |
| 1099 | 845 |
| 629 | 649 |
| 752 | 752 |
| 1137 | 906 |
| 750 | 775 |
| 343 | 373 |
| 522 | 429 |
| 659 | 664 |
| 941 | 610 |
| 965 | 359 |
| 904 | 905 |
Solution
a)
b)
| Airline B | Airline C | sign | |||||||||||
| 999 | 710 | 1 | |||||||||||
| 825 | 444 | 1 | |||||||||||
| 1006 | 927 | 1 | N+ | 10 | |||||||||
| 899 | 580 | 1 | N- | 5 | |||||||||
| 1025 | 826 | 1 | n | 15 | |||||||||
| 1099 | 845 | 1 | Bs | max(N+,N-) | max(10,5) | 10 | |||||||
| 629 | 649 | -1 | alpha | 0.05 | |||||||||
| 752 | 752 | 0 | p-value | 0.3018 | |||||||||
| 1137 | 906 | 1 | |||||||||||
| 750 | 775 | -1 | Conclusion | Since p-valus > alpha(0.05) we can conclude that the prices of both Airlines are equal | |||||||||
| 343 | 373 | -1 | |||||||||||
| 522 | 429 | 1 | |||||||||||
| 659 | 664 | -1 | |||||||||||
| 941 | 610 | 1 | |||||||||||
| 965 | 359 | 1 | |||||||||||
| 904 | 905 | -1 |
