# Question

Use the results of the simulation study, summarized in Table 7.2, to answer the following questions.

a. Which of skewness or heavy-tailedness appears to have the stronger effect on the chi-square tests?

b. For a given population distribution, does increasing the sample size yield a values more nearly equal to the nominal value of .05? Justify your answer, and provide reasons why this may occur.

c. For the short-tailed distribution (uniform), the actual probability of Type I error is smaller than the specified value of .05. Provide both a negative and a positive impact on the chi-square test of having a decrease in the specified value of α.

a. Which of skewness or heavy-tailedness appears to have the stronger effect on the chi-square tests?

b. For a given population distribution, does increasing the sample size yield a values more nearly equal to the nominal value of .05? Justify your answer, and provide reasons why this may occur.

c. For the short-tailed distribution (uniform), the actual probability of Type I error is smaller than the specified value of .05. Provide both a negative and a positive impact on the chi-square test of having a decrease in the specified value of α.

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