A major television network is considering three potential comedies: Bobby's Bunch, Her Four Husbands, and I Like Larry. A pilot ("first") episode for each has been videotaped. The network is trying to determine whether some of these shows are better liked than others and whether younger viewers (under age forty) tend to have different opinions than older viewers (age forty and above).The network randomly selected an equal number of people under age forty and age forty and above. It randomly divided those under age forty into three groups of equal size and assigned a different show to each group. The network did the same for those age forty and above. Each person watched the pilot episode of his assigned show and rated it on a scale from 0 to 25. After, the network computed the mean rating for each of the six groups. Shown below are four possible graphs displaying these group means. Answer the questions below about these graphs.

22 5 20.0 20. Under 40 175 .Under 40 175 040+ 040+ 13.0 150 Bobby's Her Four I Like Bobby's Her Four I Like Bunch Husbands Larry Bunch Husbands Larry Graph 3 Graph 4 250 75.0 040+ 225 eUnder-40 20.0 20.0 V 175 Under 40 175 040+ LS.0 15.0 Bobby's Her Four I Like Bobby's Her Four I Like Bunch Husbands Larry Bunch Husbands Larry Graph 1 Graph 2 Graph 3 Graph 4 X (a) Which graphs show that the two age categories had different overall means? Choose all that apply. O (b) Which graphs show that at least one show had a different overall O O mean from the others? Choose all that apply. (c) Which graphs show evidence of an Interaction between the two O factors age category and show? Choose all that apply