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Non-parametric testing

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Instructions: In all exercises, use a computer package (e.g., MegaStat, MINITAB) or show the calculations in a worksheet, depending on your instructor's wishes. If you use the computer, include relevant output or screen shots. If you do the calculations manually, show your work. State the hypotheses and give the test statistic and its two-tailed p-value. Make the decision. If the decision is close, say so. Are there issues of sample size? Is non-normality a concern?

16.26 is the nonparametric Kruskal-Wallis test

16.26 Below are grade point averages for 25 randomly chosen university business students during a recent semester. Research question: At α = .01, are the median grade point averages the same for students in these four class levels? GPA
Grade Point Averages of 25 Business Students
Freshman Sophomore Junior Senior
(5 students) (7 students) (7 students) (6 students)
1.91 3.89 3.01 3.32
2.14 2.02 2.89 2.45
3.47 2.96 3.45 3.81
2.19 3.32 3.67 3.02
2.71 2.29 3.33 3.01
2.82 2.98 3.17
3.11 3.26

CHAPTER EXERCISES
I completed this problem but the professor said that it is suppose to be a Goodness of Fit test to see whether those frequencies are all equal. I don't know hot to complete that, Please help.

15.32 Prof. Green's multiple-choice exam had 50 questions with the distribution of correct answers shown below. Research question: At α = .05, can you reject the hypothesis that Green's exam answers came from a uniform population? Correct

Correct Answer Frequency
A 8
B 8
C 9
D 11
E 14
Total 50

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Solution Summary

The expert examines non-parametric testing.

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