Question
A study was conducted to investigate the course learning outcomes in the math department. The table...
A study was conducted to investigate the course learning outcomes in the math department. The table below lists the results of such outcomes from randomly selected students in classes that are held in different time.
Morning Class 85, 75, 70, 68, 72, 95, 100, 88
Afternoon Class 74, 77, 59, 68, 72, 85, 100, 63, 97
Evening Class 92, 86, 70, 85, 55, 77, 73, 82, 90
Weekend Class 80, 84, 75, 86, 80, 80, 90, 65, 77
Hybrid Class 62, 72, 77, 100, 68, 84, 70, 74, 86, 90
Table 4: CLO Report
At α = 0.1 level of significance, test the claim that different classes have the same mean outcome by using the data in table 4. Write down all the important and relevant information that you use to make your decision.
Homework Answers
Answer #1
Here we need to compare more than 2 population means so one way ANOVA will be used.
Hypotheses are:
H0: Different classes have the same mean outcome.
Ha: Different classes do not have the same mean outcome.
Following is the output of one way ANOVA generated by excel:
The F test statistics is
F = 0.17
The p-value is: 0.9510
Since p-value is greater than α = 0.1 level of significance so we fail to reject the null hypothesis at α = 0.1 level of significance. We can conclude that different classes have the same mean outcome.
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