This problem demonstrates a possible (though rare) situation that can occur with group comparisons. The groups are sections and the numerical variable being compared is an exam score. Section 1 Section 2 Section 3 76.2 52 73.4 78.2 71 71.7 88.8 65.2 82.5 86.8 66.1 75.4 75.1 88.1 83.1 70.1 91.7 79.9 83.1 73.4 78.6 92.5 49.4 86.6 84 76.2 89.1
This problem demonstrates a possible (though rare) situation that can occur with group comparisons. The groups are sections and the numerical variable being compared is an exam score. Section 1 Section 2 Section 3 76.2 52 73.4 78.2 71 71.7 88.8 65.2 82.5 86.8 66.1 75.4 75.1 88.1 83.1 70.1 91.7 79.9 83.1 73.4 78.6 92.5 49.4 86.6 84 76.2 89.1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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This problem demonstrates a possible (though rare) situation that can occur with group comparisons. The groups are sections and the numerical variable being compared is an exam score.
Section 1 | Section 2 | Section 3 |
---|---|---|
76.2 | 52 | 73.4 |
78.2 | 71 | 71.7 |
88.8 | 65.2 | 82.5 |
86.8 | 66.1 | 75.4 |
75.1 | 88.1 | 83.1 |
70.1 | 91.7 | 79.9 |
83.1 | 73.4 | 78.6 |
92.5 | 49.4 | 86.6 |
84 | 76.2 | 89.1 |
- Perform a one-way ANOVA with α=0.05. Report the F test statistic rounded to 3 decimal places and the P-value rounded to 4 decimal places.
F=
p= - What is the conclusion from the ANOVA?
- reject the null hypothesis: at least one of the group means is different
- fail to reject the null hypothesis: not enough evidence to suggest the group means are different
- Calculate the group means for each section (Rounded to 2 decimal places):
Section 1: x¯1=
Section 2: x¯2=
Section 3: x¯3=
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