Exercise 4.71 discusses a study comparing average brain size between three groups of subjects. In this exercise, we test for evidence that average brain size is larger in football players who have never had a concussion (FBNoConcuss) than in football players with a history of concussions (FBConcuss). The data are in FootballBrain where the variable Hipp measures brain size as the volume of the hippocampus (in \(\mu \mathrm{L}\) ) for each subject.

(a) What are the null and alternative hypotheses?

(b) Use StatKey or other technology to find the value of the relevant sample statistic.

(c) Use StatKey or other technology to find the pvalue.

(d) Does it appear that this difference in brain size is just due to random chance?