The data below consists of matched pairs of airline ticket prices (to and from t

Question

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

Explanation / Answer

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

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