Questions about the Normal Distribution
(written at Notre Dame to cover material in Chapter 5 of SAS System for Elementary Statistical Analysis)
Click on the answer you think is most nearly correct.
1. The following statement is not true:
The normal distribution is symmetric. The kurtosis of the normal distribution is zero. A normal distribution is completely defined by its mean and standard deviation. For the normal distribution the population mean and the sample average are the same. The normal distribution is smooth.
2. The Empirical Rule says:
The sample mean will be normally distributed in large samples. Approximately sixty-eight percent of the values of a normally distributed random variable can be expected to fall within plus or minus one standard deviation of the mean. Small p-values correspond to large deviations from the mean. The Kolmorgorov test is the appropriate test for normality when the sample size is 2000 or greater. The larger the p-value the more statistically significant are your results.
3. For the normal distribution:
The mean is greater than the median. The mode is greater than the mean. The mean and the mode are equal. The mode is less than the median. Median and mode are not defined.
4. Which of the following statement is not true:
The PLOT option of PROC UNIVARIATE will generate a box plot, a stem-and-leaf plot, and a normality plot. By definition in simple random sampling any one sample is as likely to be selected as any other sample. In hypothesis testing you can get results that are statistically significant but not practically significant. In hypothesis testing you can get results that are practically significant but not statistically significant. The p-value provides a good measure of practical significance.
5. Testing for normality is appropriate for:
Nominal data. Ordinal or ratio data. Interval or nominal data. Interval or ratio data. Ordered data.