Question 2 The University Council in interested in studying the average GPA of students in four different programs at the Global Campus: economics, psychology, accounting, and sociology. A random sample of GPAs of students in those programs at the end of the semester is recorded in the table below. Economics Psychology Accounting Sociology 1.65 2.88 3.17 3.48 3.98 1.99 2.19 1.75 2.77 3.62 3.29 2.35 3.12 2.88 3.74 2.62 a. Prepare the analysis of variance table manually (Show ALL workings). (9 marks) b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (4 marks) a c. Confirm your answer using R-Studio. Provide the code used and relevant output tables. (2 marks) d. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) (4 marks) The University Council has expanded their research to determine if the years of schooling affects GPA. The data below represents the GPA: Economics Psychology Accounting Sociology Freshman 2.65 2.78 3.06 3.36 Sophomore 3.68 2.39 2.63 2.10 Junior 2.54 3.42 3.11 2.22 Senior 3.21 2.78 3.61 2.53 The study is replicated for University of Technology: Economics Psychology Accounting Sociology Freshman 3.72 2.88 3.46 3.80 Sophomore 3.54 1.99 2.79 2.23 Junior 2.57 1.62 2.70 1.93 Senior 3.12 2.88 3.74 2.62 Combine the data from the two and e. Prepare the analysis of variance table manually (Show ALL workings). (11 marks) f. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (4 marks) g. Confirm your answer using R-Studio. Provide the code used and relevant output tables. (2 marks) h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) (4 marks)

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Question 2
The University Council in interested in studying the average GPA of students in four different
programs at the Global Campus: economics, psychology, accounting, and sociology. A random
sample of GPAs of students in those programs at the end of the semester is recorded in the table
below.
Economics Psychology Accounting
Sociology
1.65
2.88
3.17
3.48
3.98
1.99
2.19
1.75
2.77
3.62
3.29
2.35
3.12
2.88
3.74
2.62
Transcribed Image Text:Question 2 The University Council in interested in studying the average GPA of students in four different programs at the Global Campus: economics, psychology, accounting, and sociology. A random sample of GPAs of students in those programs at the end of the semester is recorded in the table below. Economics Psychology Accounting Sociology 1.65 2.88 3.17 3.48 3.98 1.99 2.19 1.75 2.77 3.62 3.29 2.35 3.12 2.88 3.74 2.62
a. Prepare the analysis of variance table manually (Show ALL workings). (9 marks)
b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for
each hypothesis. (4 marks)
a
c. Confirm your answer using R-Studio. Provide the code used and relevant output tables.
(2 marks)
d. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and
homogeneity of variance were violated. Carefully discuss your findings quoting relevant
statistics in your response and provide the necessary hypotheses. (Provide the code used
and relevant output tables.) (4 marks)
The University Council has expanded their research to determine if the years of schooling affects
GPA. The data below represents the GPA:
Economics Psychology Accounting Sociology
Freshman
2.65
2.78
3.06
3.36
Sophomore
3.68
2.39
2.63
2.10
Junior
2.54
3.42
3.11
2.22
Senior
3.21
2.78
3.61
2.53
The study is replicated for University of Technology:
Economics Psychology
Accounting
Sociology
Freshman
3.72
2.88
3.46
3.80
Sophomore
3.54
1.99
2.79
2.23
Junior
2.57
1.62
2.70
1.93
Senior
3.12
2.88
3.74
2.62
Combine the data from the two and
e. Prepare the analysis of variance table manually (Show ALL workings). (11 marks)
f. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for
each hypothesis. (4 marks)
g. Confirm your answer using R-Studio. Provide the code used and relevant output tables.
(2 marks)
h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and
homogeneity of variance were violated. Carefully discuss your findings quoting relevant
statistics in your response and provide the necessary hypotheses. (Provide the code used
and relevant output tables.) (4 marks)
Transcribed Image Text:a. Prepare the analysis of variance table manually (Show ALL workings). (9 marks) b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (4 marks) a c. Confirm your answer using R-Studio. Provide the code used and relevant output tables. (2 marks) d. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) (4 marks) The University Council has expanded their research to determine if the years of schooling affects GPA. The data below represents the GPA: Economics Psychology Accounting Sociology Freshman 2.65 2.78 3.06 3.36 Sophomore 3.68 2.39 2.63 2.10 Junior 2.54 3.42 3.11 2.22 Senior 3.21 2.78 3.61 2.53 The study is replicated for University of Technology: Economics Psychology Accounting Sociology Freshman 3.72 2.88 3.46 3.80 Sophomore 3.54 1.99 2.79 2.23 Junior 2.57 1.62 2.70 1.93 Senior 3.12 2.88 3.74 2.62 Combine the data from the two and e. Prepare the analysis of variance table manually (Show ALL workings). (11 marks) f. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (4 marks) g. Confirm your answer using R-Studio. Provide the code used and relevant output tables. (2 marks) h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.) (4 marks)
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