This quiz tests your understanding of statistical intervals..
Time: 20 minutes. Open book, open notes.
Each set of values below will be computed from the same random sample of an (assumed) Normal population. Put each set of values in order and provide a brief reason. If a unique order cannot be determined, state why not. If the values must be equal, say so.
1. (a) The 95% UCL of the mean; (b) the 99% UCL of the mean.
2. (a) The 50% UCL of the mean; (b) the 50% LCL of the mean.
3. (a) The 99%-content, 90%-confidence upper tolerance limit; (b) the 99% UCL of the 90th percentile.
4. (a) The 95% prediction interval for one future value; (b) the 95% prediction interval for all 95 future values
5. (a) The 90% prediction interval for four future values; (b) the 90% prediction interval for the mean of four future values.
6. (a) The 95% UCL of the 10th percentile; (b) the 95% LCL of the 90th percentile.
7. (a) The 95% prediction limit for all 50 future values; (b) the 90%-content, 95%-confidence tolerance limit.
8. (a) The 99% UCL of the mean; (b) the 99% prediction limit for one future value.
Scoring: The passing score is 90 (seven out of eight correct answers).
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This page was created 24 March 2001.