Question: (40%) Professors X, Y, and Z are fiercely competitive. They have each trained 5 lab rats to run a maze and set up a competition. They will measure how long each rat takes to run the maze and then see whose rats are the fastest.

a. Set up a set of results such that one of the professors is a clear winner.

b. Compute the appropriate statistics so that you can decide which Professor’s rats are the fastest.

c. Is there a clear loser?