Question

Begin by re-writing the problem. Minitab is required; attach or include your output. Type (use Word) your assignment; you may handwrite equations.

1. Semester GPAs are compared for seven randomly chosen students in each class level at Oxnard University. Do the data show a significant difference in mean GPAs?

GPA for Randomly Selected Students in Four Business Majors
Accounting	Finance	Human Resources	Marketing
2.48	3.16	2.93	3.54
2.19	3.01	2.89	3.71
2.62	3.07	3.48	2.94
3.15	2.88	3.33	3.46
3.56	3.33	3.53	3.50
2.53	2.87	2.95	3.25
3.31	2.85	3.58	3.20

1. At the 0.05 level of significance, determine if there is a difference in the mean GPAs by the four business majors. State your hypotheses and show all 7 steps clearly.
2. Give and interpret the p-value.
3. Should Tukey pairwise comparisons be conducted? Why or why not?
4. If appropriate, use Minitab to produce Tukey pairwise comparison. Write a few sentences with your conclusions from those comparisons.
5. Use Levene’s test to determine if the assumption of homogeneity of variances is valid. Give hypotheses, test statistic, p-value, decision and conclusion. Use the 0.05 level of significance.
6. Verify with Minitab by attaching or including relevant output.

Answer 1

Using Minitab:

Click Stat > ANOVA > One-Way... on the top menu, as shown below:

You will be presented with the following One-Way Analysis of Variance dialogue box:

Click Comparion and select Tukeys press.  then Click the OK button. The output that Minitab produces is shown below.

b.

The statistical significance of the one-way ANOVA is found under the "P-Value". You can see that the significance level is 0.03 (i.e., p = .0.03). Since this is below 0.05 (i.e., p < .05), we can declare that the result is statistically significant. We can conclude that  there is a difference in the mean GPAs by the four business majors.

c. Yes . Tukey's method compares the means for each pair of factor levels using a family error rate (often called familywise error rate) to control the rate of type I error .

d.

Human resources and Finance are not significantly different because they do not share a letter

Please post remaining part separately.
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