Question

In: Statistics and Probability

How do competing airline carrier fares compare?  A frequent flyer investigated round-trip fares for non-stop travel from...

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?

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