Question

A major television network is considering three potential situation comedies: Bobby's Bunch, My Ex-Husbands, and I Like Larry. A pilot ("first") episode for each has been taped. The network is trying to determine whether some 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 30 people under age forty and 30 people age forty and above. It randomly divided those under age forty into groups of 10 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 20. After, the network computed the group mean rating for each of the six groups. These group means are shown in the graph below. 16 1 Under 40 15+ 14 .400 11+ Bobby's Bunch My Ex-Husbands I Like Larry After checking that the assumptions for the test were satisfied, the network performed a two-way ANOVA test. (The dependent variable was pilot episode rating. and the factors were viewer age and show.) The partially filled ANOVA table is shown below. Complete the table, and then answer the questions after the table. Do not round any values in the table except the statistic values, which you should round to at least three decimal places

Answer 1

SOURCE	DF	SS	MS	F STAT	P VALUE	SIGNIFICANCE
AGE	1	19.27	19.27	5.336	0.025	SIGNIFICANT
SHOW	2	36.13	18.065	5.003	0.010	SIGNIFICANT
INTERACTION	2	28.93	14.465	4.006	0.024	SIGNIFICANT
ERROR	54	195	3.611
TOTAL	59	279.33

Critical value of F FOR INTERACTION WITH DF1= 2 AND DF2= 54 IS 3.168

YES THERE IS AN INTERACTION BECAUSE CRITICAL VALUE SMALLER THAN THE F CAL