The partially completed ANOVA for a 3 * 2 factorial experiment with two replications is shown below. Source SS df MS F A 48 — 39 — B 65 — — — AB 34 — 17 — Error — — — Total 347 25

a. Complete the ANOVA table.

b. Conduct a hypothesis test at the 10% significance level to determine if differences exist among the treatment means.

c. Based on your finding in part

b, do you need to determine whether these factors interact to affect the response mean? If so, suggest the next test you would need to conduct.

d. Is it easier to interpret main effects when the interaction component is not significant in a two-way ANOVA? Explain.

e. Test to determine if factors A and B interact at the 10% significance level.

f. Does the result of the interaction test warrant further testing? Explain.