Chapter 12.1, Problem 1AC

Colors That Make You Smarter

The following set of data values was obtained from a study of people’s perceptions on whether the color of a person’s clothing is related to how intelligent the person looks. The subjects rated the person’s intelligence on a scale of 1 to 10. Randomly selected group 1 subjects were shown people with clothing in shades of blue and gray. Randomly selected group 2 subjects were shown people with clothing in shades of brown and yellow. Randomly selected group 3 subjects were shown people with clothing in shades of pink and orange. The results follow.

Group 1	Group 2	Group 3
8	7	4
7	8	9
7	7	6
7	7	7
8	5	9
8	8	8
6	5	5
8	8	8
8	7	7
7	6	5s
7	6	4
8	6	5
8	6	4

1. Use ANOVA to test for any significant differences between the means.

2. What is the purpose of this study?

3. Explain why separate t tests are not accepted in this situation.