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