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 the Tukey test to test all possible pairwise comparisons.
2. Are there any contradictions in the results?
3. Explain why separate t tests are not accepted in this situation.
4. When would Tukey’s test be preferred over the Scheffé method? Explain

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Group 1 Group 2 Group 3 *TTT0000 60000 70000 7 4 7 8 7 7 6 7 8 8 8 5 8 7 7 6 905675454 8 8 7 5 7 8 6 6 8 6 4