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.

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.

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Group 1 Group 2 Group 3 8 7 7 8 7 7 7 7 8 5 8 8 6 5 8 8 8 7 7 6 7 6 8 6 8 6 496790015 0015454 8 7