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.
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.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 |
---|---|---|---|---|
83.7 | 84.3 | 56.6 | 67.5 | 60.7 |
80.8 | 77.1 | 83 | 71.9 | 80.2 |
91.3 | 72.4 | 77.4 | 70.5 | 57.3 |
80.1 | 74.4 | 79.2 | 79 | 68.7 |
93.3 | 71.9 | 73 | 81.8 | 70 |
78.1 | 73.7 | 74.5 | 62.8 | 64.5 |
76.5 | 69.7 | 81.4 | 75.1 | 63.1 |
68.2 | 72 | 75.2 | 83.7 | 65.5 |
62.8 | 71 | 79.3 | 85.4 | 67.6 |
76.5 | 73.1 | 74.5 | 81.5 | 67.1 |
79.2 | 67.9 | 74.9 | 86.7 | 72.2 |
62.1 | 78.7 | 84.8 | 63.4 | 80.8 |
86.7 | 97.2 | 66.8 | 79.3 | 68.2 |
79 | 74.6 | 66.4 | 75.9 | 67.7 |
79.1 | 82.3 | 69.3 | 70.3 | 68.2 |
71.1 | 62.2 | 53.3 | 71.1 | 58 |
61.8 | 68.9 | 82.7 | 60.2 | 73 |
70.7 | 83.2 | 61.9 | 64.6 | 49.5 |
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)
Conclusion:
- The sample data suggest that some sections have significantly different average exam scores.
- There is not sufficient data to suggest that some sections have significantly different average exam scpres.
- The sample data suggest that some sections show a significant correlation to other sections
- There is not sufficient data to suggest that some sections show a significant correlation to other sections.
- The sample data suggest that some sections are dependent on other sections
- There is not sufficient data to suggest that some sections are dependent on other sections.
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