# Brainstorming A researcher investigated whether...

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Statistics 106 Homework 6 Due : Nov. 14, 2016, In Class 20.5 Brainstorming. A researcher investigated whether brainstorming is more e ff ective for larger groups than for smaller ones by setting up four groups of agribusiness executives, the group sizes being two, three, four, and five, respectively. He also set up four groups of agribusiness scientists, the group sizes being the same as for the agribusiness executives. The researcher gave each group the same problem: ”How can Canada increase the value of its agricultural exports?” Each group was allowed 30 minutes to generate ideas. The variable of interest was the number or di ff erent ideas proposed by the group. The results, classified by type of group (factor A ) and size of group (factor B ), were: Factor B (size of group) Factor A j = 1 j = 2 j = 3 j = 4 (type of group) Two Three Four Five i = 1 Agribusiness executives 18 22 31 32 i = 2 Agribusiness scientists 15 23 29 33 Assume that no-interaction ANOVA model is appropriate. a. Plot the data in the format of Figure 20.1 in the textbook (plot of the observations Y i j ). Does it appear that interaction e ff ects are present? Does it appear that factor A and factor B