Statistics Exercise 26

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1. How would you characterize the skewness of the distribution of the graph below? Positively skewed, negatively skewed, or approximately normal? Provide your rationale for your answer?

2. 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 statistic change, and how would you explain the differences? See graphs below.

3. How would you characterize the kurtosis distribution for “years of education” on the graph below? Leptokurtic, mesokurtic, or platykurtic? Provide rationale for your answer.

4. What is the skewness statistic for “age of enrollment”? How would you characterize the magnitude of the skewness for “age of enrollment”?. Provide rational for your answer. See graph below.

5. What is the kurtosis statistic for “years of education”? How would you characterize the magnitude of the kurtosis statistic for “years of education”? Provide rationale for your
answer.

6. Using the Shapiro-Wilk Statistic for “numbers of times fired from job” (see statistic below) what would you conclude from this result. Provide rationale for your answer.

7. On the output table above titled “Test of Normality,” the Shapiro-Wild statistic is reported along with the Kolmogorov-Smirnov statistic. Why is Kolmogorov-Smirnov statistic not appropriate to report for these example data? Provide rationale for your answer.

Last Updated on April 25, 2020 by