A psychiatrist believes th a t the location o f a test center may influence a test taker's performance. In order to test his claim, he collects SAT scores from four different locations

(the data are also available on the te xt website, labeled Test Centers).

Location 1 Location 2 Location 3 Location 4 1350 1300 1000 1450 1275 1320 1350 1700 1200 1260 1100 1600 1450 1400 1050 1325 1150 1425 1025 1200

a. Specify the com peting hypotheses to test w hether the median test scores differ by location.

b. Calculate the value o f the test statistic H.

c. At the 5% significance level, w hat is the critical value?

d. Do the data support the psychiatrist's belief? Explain.