Question: A beverage distributor wanted to determine the combination of advertising agency (two levels) and advertising medium (three levels) that would produce the largest increase in sales per advertising dollar. Each of the advertising agencies prepared copy or film, as required for each of the media—newspaper, radio, and television. Twelve small towns of roughly the same size were selected for the experiment, and two each were assigned to receive and advertisement prepared and transmitted by each of the six Agency—Medium combinations. The dollar increases in sales per advertising dollar, based on a 1-month sales period, are shown in the table. As is the ANOVA table. Complete the ANOVA Table.

Would you test the main effects factors, Agency and Medium, in this example, if testing at \(\alpha \) = 0.01? Explain why or why not.