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 WSA1 subject. It was thought that students with four different majors might result in different grades for WSA1. The lecturer examined exam scores for a sample of four students each from the school that participated in the WSA1 class. The following are the WSA1 exam results for the students:

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 WSA1 subject. It was thought that students with four different majors might result in different grades for WSA1. The lecturer examined exam scores for a sample of four students each from the school that participated in the WSA1 class.

The following are the WSA1 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.
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.
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