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.
2. Give and interpret the p-value.

Answer 1

Date: 08/05/2019 Answer To test the hypothesis is that there is a difference in the mean GPAs by the four business majors at 5% level of significance. The null and alternative hypothesisis, Ha: at least one μ is unequal. The F-test statistics is, By using MINITAB software, find F-test statistics with the help of following steps 1) Import the data 2) Choose One-Way from ANOVA in Stat menu 3) Choose Response variable and Factor Variable. 4) Click Ok.

One-way ANOVA: Frequency versus Group Source DF SS MS F Group 3 1.181 o.394 3.52 0.030 Error 24 2.687 0.112 Total 27 3.868 From the MINITAB output, the F-test statistics is 3.52 The p-value for this test is, From the MINITAB output, thep value for this test is 0.030 Decision The conclusion is that p-value in this context is less than 0.05 which is 0.030, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that there is a difference in the mean GPAs by the four business majors. The result is statistically significant.