7.40 Student performance across discussion sections. A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section. Sec 1 Sec 2 Sec 3 Sec 4 Sec 5 Sec 6 Sec 7 Sec 8 ni 33 19 10 29 33 10 32 31 92.94 91.11 91.80 92.45 89.30 88.30 90.12 93.35 Si 4.21 5.58 3.43 5.92 9.32 7.27 6.93 4.57 The ANOVA output below can be used to test for differences between the average scores from the different discussion sections. F value Pr(>F) 0.0767 Df Sum Sq Mean Sq section 7 525.01 75.00 1.87 Residuals 189 7584.11 40.13 Conduct a hypothesis test to determine if these data provide convincing evidence that the average score varies across some (or all) groups. Check conditions and describe any assumptions you must make to proceed with the test.
7.40 Student performance across discussion sections. A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section. Sec 1 Sec 2 Sec 3 Sec 4 Sec 5 Sec 6 Sec 7 Sec 8 ni 33 19 10 29 33 10 32 31 92.94 91.11 91.80 92.45 89.30 88.30 90.12 93.35 Si 4.21 5.58 3.43 5.92 9.32 7.27 6.93 4.57 The ANOVA output below can be used to test for differences between the average scores from the different discussion sections. F value Pr(>F) 0.0767 Df Sum Sq Mean Sq section 7 525.01 75.00 1.87 Residuals 189 7584.11 40.13 Conduct a hypothesis test to determine if these data provide convincing evidence that the average score varies across some (or all) groups. Check conditions and describe any assumptions you must make to proceed with the test.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:7.40 Student performance across discussion sections. A professor who teaches a large introductory
statistics class (197 students) with eight discussion sections would like to test if student performance differs
by discussion section, where each discussion section has a different teaching assistant. The summary table
below shows the average final exam score for each discussion section as well as the standard deviation of
scores and the number of students in each section.
Sec 1
Sec 2
Sec 3
Sec 4
Sec 5
Sec 6
Sec 7
Sec 8
ni
33
19
10
29
33
10
32
31
92.94
91.11
91.80
92.45
89.30
88.30
90.12
93.35
Si
4.21
5.58
3.43
5.92
9.32
7.27
6.93
4.57
The ANOVA output below can be used to test for differences between the average scores from the different
discussion sections.
F value
Pr(>F)
0.0767
Df
Sum Sq Mean Sq
section
7
525.01
75.00
1.87
Residuals
189
7584.11
40.13
Conduct a hypothesis test to determine if these data provide convincing evidence that the average score varies
across some (or all) groups. Check conditions and describe any assumptions you must make to proceed with
the test.
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