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1. Plot the frequency distribution for “Age at Enrollment” by hand or by using SPSS.

2. How would you characterize the skewness of the distribution in Question 1—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 “Age at First Arrest.” How did the statistics change, and how

would you explain these differences?

4. Plot the frequency distribution for “Years of Education” by hand or by using SPSS.

290 EXERCISE 26 • Determining the Normality of a Distribution

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5. How would you characterize the kurtosis of the distribution in Question 4—leptokurtic, mesokurtic,

or platykurtic? Provide a rationale for your answer.

6. What is the skewness statistic for “Age at Enrollment”? How would you characterize the magnitude

of the skewness statistic for “Age at Enrollment”?

7. What is the kurtosis statistic for “Years of Education”? How would you characterize the magnitude

of the kurtosis statistic for “Years of Education”?

8. Using SPSS, compute the Shapiro-Wilk statistic for “Number of Times Fired from Job.” What

would you conclude from the results?

9. In the SPSS output table titled “Tests of Normality,” 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 signifi cant at p < 0.05?