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)
![1520_location of a test center.png](https://secure.tutorsglobe.com/CMSImages/1520_location of a test center.png)
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