Just Statistics ((Minitab)) Expert !! 3

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DSCI 346-01 F16: Chapter 11 On-Paper Assignments 40 points

Begin by re-writing the problem. Minitab is required; attach or include your output. Use Word; you may handwrite equations. You may want to refer to the Minitab handout for Chapter 11 which was distributed in class.

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? The data may be found in the data file GPA1.

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

a. 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. (14 points)

b. Give and interpret the p-value. (3 points)

c. Should Tukey pairwise comparisons be conducted? Why or why not? (3 points)

d. If appropriate, use Minitab to produce Tukey pairwise comparison. Write a few sentences with

your conclusions from those comparisons. (4 points)

e. 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. (8

points)

f. Verify with Minitab by attaching or including relevant output. (6 points)