Exercise 26

1. Plot the frequency distribution for â€œAge at Enrollmentâ€ by hand or by using SPSS.

2. How would you characterize the skewness of the distribution in Question 1â€”positively skewed, negatively skewed, or approximately normal? Provide a rationale for your answer.

3. Compare the original skewness statistic and Shapiro-Wilk statistic with those of the smaller dataset ( n = 15) for the variable â€œAge at First Arrest.â€ How did the statistics change, and how would you explain these differences?

4. Plot the frequency distribution for â€œYears of Educationâ€ by hand or by using SPSS.

5. How would you characterize the kurtosis of the distribution in Question 4â€”leptokurtic, mesokur-tic, or platykurtic? Provide a rationale for your answer.

6. What is the skewness statistic for â€œAge at Enrollmentâ€? How would you characterize the magnitude of the skewness statistic for â€œAge at Enrollmentâ€?

7. What is the kurtosis statistic for â€œYears of Educationâ€? How would you characterize the magnitude of the kurtosis statistic for â€œYears of Educationâ€?

8. Using SPSS, compute the Shapiro-Wilk statistic for â€œNumber of Times Fired from Job.â€ What would you conclude from the results?

9. In the SPSS output table titled â€œTests of Normality,â€ the Shapiro-Wilk statistic is reported along with the Kolmogorov-Smirnov statistic. Why is the Kolmogorov-Smirnov statistic inappropriate to report for these example data?

10. How would you explain the skewness statistic for a particular frequency distribution being low and the Shapiro-Wilk statistic still being signiï¬cant at p < 0.05?

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