A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:

SS(total) = 9420 SS(A) = 203 SS(B) = 859 SS(AB) = 513

(a) Test at the 5% significance level to determine whether factors a and b interact.
(b) Test at the 5% significance level to determine whether differences exist between the levels of factor a.
(c) Test at the 5% significance level to determine whether differences exist between the levels of factor b.