A psychiatrist believes that the location of a test center may influence a test taker's performance. To test his claim, he collects SAT scores from four different locations.

a. Specify the competing hypotheses to test whether some median test scores differ by location.
b. At the 5% significance level, what is the critical value?
c. Calculate the value of the test statistic H.
d. Do the data support the psychiatrist's belief? Explain.

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Location 1 1350 1275 1200 1450 11 50 Location 2 1300 1320 1260 1400 1425 Location 3 1000 1350 1100 1050 1025 Location 4 1450 1700 1600 1325 1200