A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections. Group-1 Group-2 Group-3 Group-4 Group-5 86 56.8 78 65 41.8 62.5 52.2 83.5 70.3 60.3 75.2 61.1 88.8 75.3 53.2 44.6 51.3 70 87.3 86 42.2 62.1 49.9 76.6 49.7 65.8 75.1 65.7 44.4 49.8 81.3 49.7 57.8 78.8 62.9 84.9 60.1 58.3 57.1 55.8 55.5 66.5 57.5 64.8 73.7 75.9 64.2 61.4 75 75 59 80.9 64.5 84.9 63.2 69.9 60.2 77.1 71.8 69.9 59.3 51 76.2 81.6 62 48 71.7 69.3 66.5 50.8 66 56.9 88.1 75.3 58.4 70.3 63.7 73.9 67.5 46.2 62.2 44.3 60.1 90.2 61.8 67.5 40.5 68.2 54.9 71.7 Conduct a test to determine if the group means are equal using α=0.02α=0.02. Summary statistics: F-ratio (F-test statistics) = p-value = (report accurate to at least 4 decimal places) What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the percentage of variation explained by the variable being tested, similar to η2η2 and for correlation, r2r2 .
A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections. Group-1 Group-2 Group-3 Group-4 Group-5 86 56.8 78 65 41.8 62.5 52.2 83.5 70.3 60.3 75.2 61.1 88.8 75.3 53.2 44.6 51.3 70 87.3 86 42.2 62.1 49.9 76.6 49.7 65.8 75.1 65.7 44.4 49.8 81.3 49.7 57.8 78.8 62.9 84.9 60.1 58.3 57.1 55.8 55.5 66.5 57.5 64.8 73.7 75.9 64.2 61.4 75 75 59 80.9 64.5 84.9 63.2 69.9 60.2 77.1 71.8 69.9 59.3 51 76.2 81.6 62 48 71.7 69.3 66.5 50.8 66 56.9 88.1 75.3 58.4 70.3 63.7 73.9 67.5 46.2 62.2 44.3 60.1 90.2 61.8 67.5 40.5 68.2 54.9 71.7 Conduct a test to determine if the group means are equal using α=0.02α=0.02. Summary statistics: F-ratio (F-test statistics) = p-value = (report accurate to at least 4 decimal places) What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the percentage of variation explained by the variable being tested, similar to η2η2 and for correlation, r2r2 .
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 7PPS
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A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections.
Group-1 | Group-2 | Group-3 | Group-4 | Group-5 |
---|---|---|---|---|
86 | 56.8 | 78 | 65 | 41.8 |
62.5 | 52.2 | 83.5 | 70.3 | 60.3 |
75.2 | 61.1 | 88.8 | 75.3 | 53.2 |
44.6 | 51.3 | 70 | 87.3 | 86 |
42.2 | 62.1 | 49.9 | 76.6 | 49.7 |
65.8 | 75.1 | 65.7 | 44.4 | 49.8 |
81.3 | 49.7 | 57.8 | 78.8 | 62.9 |
84.9 | 60.1 | 58.3 | 57.1 | 55.8 |
55.5 | 66.5 | 57.5 | 64.8 | 73.7 |
75.9 | 64.2 | 61.4 | 75 | 75 |
59 | 80.9 | 64.5 | 84.9 | 63.2 |
69.9 | 60.2 | 77.1 | 71.8 | 69.9 |
59.3 | 51 | 76.2 | 81.6 | 62 |
48 | 71.7 | 69.3 | 66.5 | 50.8 |
66 | 56.9 | 88.1 | 75.3 | 58.4 |
70.3 | 63.7 | 73.9 | 67.5 | 46.2 |
62.2 | 44.3 | 60.1 | 90.2 | 61.8 |
67.5 | 40.5 | 68.2 | 54.9 | 71.7 |
Conduct a test to determine if the group means are equal using α=0.02α=0.02.
Summary statistics:
F-ratio (F-test statistics) =
p-value =
(report accurate to at least 4 decimal places)
What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the percentage of variation explained by the variable being tested, similar to η2η2 and for
(report accurate to at least 3 decimal places)
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