The Color Red and Performance Color affects us in many ways. For example, experiments have shown that the color red appears to enhance men's attraction to women. Previous studies have also shown that athletes competing against an opponent wearing red perform worse, and students exposed to red before a test perform worse. A recent study2 states that "red is hypothesized to impair performance on achievement tasks, because red is associated with the danger of failure." In the study, US college students were asked to solve 15 moderately difficult, five-letter, single-solution anagrams during a 5-minute period. Information about the study was given to participants in either red, green, or black ink just before they were given the anagrams. Participants were randomly assigned to a color group and did not know the purpose of the experiment, and all those coming in contact with the participants were blind to color group. The red group contained 19 participants and they correctly solved an average of 4.4 anagrams. The 27 participants in the green group correctly solved an average of 5.7 anagrams and the 25 participants in the black group correctly solved an average of 5.9 anagrams. Work through the details below to test if performance is different based on prior exposure to different colors. 1"Color Red Increases the Speed and Strength of Reactions," Science Daily, sciencedaily.com, June 2, 2011. 2Elliot, A., et al., "Color and Psychological Functioning: The Effect of Red on Performance Attainment," Journal of Experimental Psychology: General, 2007; 136(1): 154-168. Data approximated from summary statistics. (a) Use the fact that the sum of squares for color groups is 27.7 and the total sum of squares is 84,7 to complete an ANOVA table and find the F-statistic. Round your answers to two decimal places. Source df MS F-Statistic Groups i i Error i i Total i eTextbook and Media (b) Use the F-distribution to find the p-value. Round your answer to three decimal places. p-value = eTextbook and Media (c) What is the conclusion of the test, using a 1 % significance level? O Reject Ho. O Do not reject Ho. eTextbook and Media Is there a significant difference in average number of anagrams solved between the three groups? O Yes O No eTextbook and Media

The Color Red and Performance Color affects us in many ways. For example, experiments have shown that the color red appears to enhance men's attraction to women. Previous studies have also shown that athletes competing against an opponent wearing red perform worse, and students exposed to red before a test perform worse. A recent study2 states that "red is hypothesized to impair performance on achievement tasks, because red is associated with the danger of failure." In the study, US college students were asked to solve 15 moderately difficult, five-letter, single-solution anagrams during a 5-minute period. Information about the study was given to participants in either red, green, or black ink just before they were given the anagrams. Participants were randomly assigned to a color group and did not know the purpose of the experiment, and all those coming in contact with the participants were blind to color group. The red group contained 19 participants and they correctly solved an average of 4.4 anagrams. The 27 participants in the green group correctly solved an average of 5.7 anagrams and the 25 participants in the black group correctly solved an average of 5.9 anagrams. Work through the details below to test if performance is different based on prior exposure to different colors. 1"Color Red Increases the Speed and Strength of Reactions," Science Daily, sciencedaily.com, June 2, 2011. 2Elliot, A., et al., "Color and Psychological Functioning: The Effect of Red on Performance Attainment," Journal of Experimental Psychology: General, 2007; 136(1): 154-168. Data approximated from summary statistics. (a) Use the fact that the sum of squares for color groups is 27.7 and the total sum of squares is 84,7 to complete an ANOVA table and find the F-statistic. Round your answers to two decimal places. Source df MS F-Statistic Groups i i Error i i Total i eTextbook and Media (b) Use the F-distribution to find the p-value. Round your answer to three decimal places. p-value = eTextbook and Media (c) What is the conclusion of the test, using a 1 % significance level? O Reject Ho. O Do not reject Ho. eTextbook and Media Is there a significant difference in average number of anagrams solved between the three groups? O Yes O No eTextbook and Media

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

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8-1 #9

The Color Red and Performance
Color affects us in many ways. For example, experiments have shown that the color red appears to enhance men's attraction to
women. Previous studies have also shown that athletes competing against an opponent wearing red perform worse, and students
exposed to red before a test perform worse.A recent study? states that "red is hypothesized to impair performance on
achievement tasks, because red is associated with the danger of failure." In the study, US college students were asked to solve 15
moderately difficult, five-letter, single-solution anagrams during a 5-minute period. Information about the study was given to
participants in either red, green, or black ink just before they were given the anagrams. Participants were randomly assigned to a
color group and did not know the purpose of the experiment, and all those coming in contact with the participants were blind to
color group. The red group contained 19 participants and they correctly solved an average of 4.4 anagrams. The 27 participants in
the green group correctly solved an average of 5.7 anagrams and the 25 participants in the black group correctly solved an average
of 5.9 anagrams. Work through the details below to test if performance is different based on prior exposure to different colors.
1"Color Red Increases the Speed and Strength of Reactions," Science Daily, sciencedaily.com, June 2, 2011.
2Elliot, A., et al., "Color and Psychological Functioning: The Effect of Red on Performance Attainment," Journal of Experimental
Psychology: General, 2007; 136(1): 154-168. Data approximated from summary statistics.
(a) Use the fact that the sum of squares for color groups is 27.7 and the total sum of squares is 84.7 to complete an ANOVA
table and find the F-statistic.
Round your answers to two decimal places.
Source
df
SS
MS
F-Statistic
Groups
i
Error
i
Total
i
eTextbook and Media
(b) Use the F-distribution to find the p-value.
Round your answer to three decimal places.
p-value =
i
eTextbook and Media
(c) What is the conclusion of the test, using a 1 % significance level?
O Reject Ho.
O Do not reject Ho.
eTextbook and Media
Is there a significant difference in average number of anagrams solved between the three groups?
O Yes
O No
eTextbook and Media

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