Xr14-71 The data shown here were taken from a 2  3 factorial experiment with four replicates:

Factor B Factor A 1 2 1 23 20 18 17 17 16 20 19 2 27 29 23 23 21 27 28 25 3 23 27 21 19 24 20 16 22

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.