(Result of Tukey) Consider an ANOVA where the samples from each population have the sam size: ne = c for all e. Using parts a and b, show that in this special case we have: k k k(k - 1) EE =F i=1 j=1 where F is the F-stat from running an ANOVA. (In class, we saw that the ANOVA and t-tes were similar when k = 2. This result shows that if the sample sizes are equal, then the F-stat i basically an average of all the possible pairwise t-stats squared using S2! Very slick.)