## Math 170: Study Guide: Chapters 7 - 8

1. Determine the probabilities associated with the standard normal distribution. Shade the proper region under the curve. Six parts. Look at problems 7.6 - 7.39.
2. Find a z-value when the area under the curve is known. Look at problems 7.46 - 7.48.
3. Multiple Choice. Know the properties of the Standard Normal distribution.
4. Multiple Choice. Know the properties of the Student's t distribution.
5. Multiple Choice. Know the properties of the sampling distribution of the sample mean (Central Limit Theorem).
6. Multiple Choice. Know the properties of a good estimator.
7. Definitions. Supply the term being defined. Four parts. Know the definitions of: (7) Sampling error, Standard error of the mean, z value; Correction for Continuity (8) Confidence interval, Degrees of Freedom, Estimator, Interval estimate, Maximum error of the estimate, Point estimate.
8. True / False. Six parts. Look at the True-False questions at the end of the chapters.
9. Apply the normal distribution to solve an application problem. Look at problems 7.55 - 7.66*.
10. Find the probability involving the sample mean and Central Limit Theorem. Look at problems 7.100 - 7.111*.
11. Find the cutoff scores for an exam so that a certain percent of the class receives a specific letter grade. Look at problem 7.92.
12. Approximate the binomial probability using the Normal distribution. Also give the actual value using the binomial program on the calculator. Look at problems 7.130 - 7.139*.
13. Find a confidence interval for the mean. Look at problems 8.10 - 8.19*.
14. Estimate the sample size necessary to construct a confidence interval for the mean. Look at problems 8.20 - 8.25*.
15. Construct a confidence interval for the mean when the sample size is small. Look at problem 8.46*.
16. Construct a confidence interval for the population proportion. Look at problems 8.49 - 8.59*.
17. Estimate the sample size necessary to construct a confidence interval for a population proportion. Look at problems 8.60 - 8.64*.

### Notes:

• Problems that are asterisked are directly from the book. When you are told to look at problems, but there is no asterisk, the problem is similar, but not identical, to a problem from the book.
• There are two parts to the exam.
• Problems 1-12 must be worked without the use of a note card.
• You may make copy formulas onto a note card(s) for use with problems 13-17. You may not put examples onto the note card, only formulas and when to use the formulas.
• After you have completed problems 1-12, turn in the first part of the exam and pick up the second part. You may then get out your note card.

Last updated: Saturday, June 20, 1998 at 8:14 PM
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