Question: Applying the Concepts 12 - 3 :

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 l to 10. Group 1 subjects were randomly shown people with clothing in shades of blue and gray. Group 2 subjects were randomly shown people with clothing in shades of brown and yellow. Group 3 subjects were randomly 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. Could the Scheffé test be used to test all possible pairwise comparisons?
4. Use the Tukey test to test all possible pairwise comparisons.
5. Are there any contradictions in the results?
6. Explain why separate [tests are not accepted in this situation.
7. When would Tukey’s test be preferred over the Scheffe’ method? Explain.

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