Normality Testing Quiz and Answers
- What is normality testing?
A. A statistical method used to determine whether a set of data follows a normal distribution.
B. A method to determine the mean of a set of data.
C. A method to determine the variance of a set of data.
D. A method to determine the median of a set of data.
Answer: A
2. Why is normality testing important?
A. It helps to determine the probability of events occurring.
B. It is used to estimate the mean of a set of data.
C. It is used to estimate the variance of a set of data.
D. Many statistical methods require the assumption of normality in the underlying data for accurate results.
Answer: D
3. Which of the following is not a common normality test?
A. Shapiro-Wilk test
B. Levene’s test
C. Anderson-Darling test
D. Kolmogorov-Smirnov test
Answer: B
4. What is the null hypothesis in normality testing?
A. The data does not follow a normal distribution.
B. The data follows a specific distribution.
C. The data follows a normal distribution.
D. None of the above.
Answer: C
5. What is the alternative hypothesis in normality testing?
A. The data does not follow a normal distribution.
B. The data follows a specific distribution.
C. The data follows a normal distribution.
D. None of the above.
Answer: A
6. How is normality testing performed?
A. By applying a normality test to the data and comparing the p-value to a pre-specified significance level.
B. By calculating the mean of the data.
C. By calculating the variance of the data.
D. By calculating the median of the data.
Answer: A
7. What is the significance level in normality testing?
A. The probability of rejecting the null hypothesis when it is actually true.
B. The probability of accepting the null hypothesis when it is actually false.
C. The probability of accepting the alternative hypothesis when it is actually false.
D. The probability of rejecting the alternative hypothesis when it is actually true.
Answer: A
8. Which normality test is most commonly used?
A. Shapiro-Wilk test
B. Anderson-Darling test
C. Kolmogorov-Smirnov test
D. All of the above are equally common.
Answer: A
9. What should be done if the data does not pass normality testing?
A. Non-parametric methods may be used instead of parametric methods that assume normality.
B. Data transformations may be applied to make the data more normally distributed.
C. Both A and B.
D. None of the above.
Answer: C
10. Which of the following is not a possible reason for a dataset to fail normality testing?
A. The sample size is too small.
B. The data is skewed.
C. The data has outliers.
D. The mean of the data is too high.
Answer: D
