Reconsider Exercise 9.1.23 on major and time needed to complete a puzzle. Th ere was one outlier in the applied science group. The researchers reported that this subject kept getting distracted while completing the puzzle. Put the data MajorPuzzle into the Multiple Means applet and run a simulation-based test using the MAD statistic.
a. Remove the outlier (it should be at the top of the list) and run the test again. What is the new MAD statistic and p-value?
b. After removing the outlier, you should have seen the MAD statistic decrease compared to the MAD statistics with the outlier in [see your answer to Exercise 9.1.23, part (d)]. Explain why this makes sense.
c. After removing the outlier and getting a smaller MAD statistic, you might think that the p-value should increase. The p-value, however, decreased slightly compared to your answer to Exercise 9.1.23, part (e). What else changed that caused this to happen?

Data from 9.1.23

A group of Hope College statistics students wanted to see if there was an association between students’ major and the time (in seconds) it takes them to complete a small Sudoku-like puzzle. They grouped majors into four categories: applied science (as), natural science (ns), social science (ss), and arts/humanities (ah). Their results can be found in the data file MajorPuzzle.