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Difference in the Median Performance

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Dan Thompson, the president of CEO Airlines, recently noted an increase in the number of no-shows for flights out of Atlanta. He is particularly interested in determining whether there are a different number of no-shows for flights that originate from Atlanta compared with flights leaving Chicago. Below are the numbers of no-shows for scheduled flights:
Atlanta: 11, 15, 10, 18, 11, 20, 24, 22, 25
Chicago: 13, 14, 10, 8, 16, 9, 17, 21
Is there evidence of a difference in the median performance between the two methods? (Use ? = 0.05.)

You may use do by hand or use Excel, but make sure your hypothesis and testing steps are clear. Explain your results.

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Solution Summary

The differences in the median performance are examined in the solution.

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See the attached file.

First, the hypothesis is as follows:
H0: The population distribution of no-shows is the same or less for Atlanta and Chicago.
H1: The population distribution of no-shows is larger for Atlanta than for Chicago.

Then we rank the observations from both samples as if they were a single group.
Please note that the Chicago flight with only 8 ...

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