A lecturer in a university wants to investigate the differences in students' marks with the different majors from School A, School B, School C and School D for MSG 162 subject. It was thought that students with four different majors might result in different grades for MSG 162. The lecturer examined exam scores for a sample of four students each from the school that participated in the MSG 162 class. The following are the MSG 162 exam results for the students: School A B C D Marks 85 67 88 77 79 75 79 56 76 72 85 60 83 80 82 70 Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that there is no difference between exam scores of students from four schools at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine the level of significance (p-value) of the test results.
A lecturer in a university wants to investigate the differences in students' marks with the different majors from School A, School B, School C and School D for MSG 162 subject. It was thought that students with four different majors might result in different grades for MSG 162. The lecturer examined exam scores for a sample of four students each from the school that participated in the MSG 162 class. The following are the MSG 162 exam results for the students: School A B C D Marks 85 67 88 77 79 75 79 56 76 72 85 60 83 80 82 70 Assume that all assumptions to perform an ANOVA test are satisfied. a) Test the hypothesis that there is no difference between exam scores of students from four schools at the significance level, a = 0.05. Interpret the results of the hypothesis testing. b) Determine the level of significance (p-value) of the test results.
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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A lecturer in a university wants to investigate the differences in students’ marks with the different majors from School A, School B, School C and School D for SCC211 subject. It was thought that students with four different majors might result in different grades for SCC211. The lecturer examined exam scores for a sample of four students each from the school that participated in the SCC211 class.
The following are the SCC211 exam results for the students:
Transcribed Image Text:A lecturer in a university wants to investigate the differences in students' marks with the
different majors from School A, School B, School C and School D for MSG 162 subject.
It was thought that students with four different majors might result in different grades for
MSG 162. The lecturer examined exam scores for a sample of four students each from the
school that participated in the MSG 162 class.
The following are the MSG 162 exam results for the students:
School
A
B
C
D
Marks
85
67
88
77
79
75
79
56
76
72
85
60
83
80
82
70
Assume that all assumptions to perform an ANOVA test are satisfied.
a) Test the hypothesis that there is no difference between exam scores of students from
four schools at the significance level, a = 0.05. Interpret the results of the hypothesis
testing.
b) Determine the level of significance (p-value) of the test results.
c) Determine a 95% interval estimate for the students marks from school B.
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Transcribed Image Text:School
A
B
C
D
Marks
85
67
88
77
79
75
79
56
76
72
85
60
83
80
82
70
Assume that all assumptions to perform an ANOVA test are satisfied.
a) Test the hypothesis that there is no difference between exam scores of students from
four schools at the significance level, a = 0.05. Interpret the results of the hypothesis
testing.
b) Determine the level of significance (p-value) of the test results.
c) Determine a 95% interval estimate for the students marks from school B.
Solution
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