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 a 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) A X hp F4 F3 555 F6 F7 F8 F9 F10 F11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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 a 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)
A X
hp
F4
F3
555
F6
F7
F8
F9
F10
F11
Transcribed Image Text: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 a 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) A X hp F4 F3 555 F6 F7 F8 F9 F10 F11
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