An education professor wants to find out which subject students find most difficult. She obtains final exam scores for three randomly selected freshmen and three randomly selected sophomores from three subjects, statistics, psychology, and history. The results are as follows.

a. Can you reject the hypothesis of no interactions? Explain.

b. Can the main effect of class (freshmen or sophomores) on final exam score be interpreted? If so, interpret the main effect, using the α = 0.05 level of significance. If not, explain why not.

c. Can the main effect of subject on final exam score be interpreted? If so, interpret the main effect, using the α = 0.05 level of significance. If not, explain why not.

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Freshmen Statistics Psychology 76 88 72 69 84 75 Sophomores 82 99 80 85 97 87 History 77 87 76 85 96 90