The University Council is interested in studying the average GPA of students in four different programs at the International 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). b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis.

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The University Council is interested in studying the average GPA of students in four different
programs at the International 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).
b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each
hypothesis.
Transcribed Image Text:The University Council is interested in studying the average GPA of students in four different programs at the International 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). b. State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis.
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