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. Group1 8 7 7 7 8 8 6 8 8 7 7 8 8 Group2 7 8 7 7 5 8 5 8 7 6 6 6 6 Group3 4 9 6 7 9 8 5 8 7 5 4 5 4 answer the following questions based on upper table 1. Use ANOVA to test for any significant differences between the means. 3. Explain why separate t tests are not accepted in this situation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
Group1 8 7 7 7 8 8 6 8 8 7 7 8 8
Group2 7 8 7 7 5 8 5 8 7 6 6 6 6
Group3 4 9 6 7 9 8 5 8 7 5 4 5 4
answer the following questions based on upper table
1. Use ANOVA to test for any significant differences between the
means.
3. Explain why separate t tests are not accepted in this situation.

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