# 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 7.54 - 7.66*.
10. Find the probability involving the sample mean and Central Limit Theorem. Look at problems 7.100 - 7.117*.
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 - 8.16*.
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.
• This is a group exam.
• Problems 1 - 11 must be worked individually and turned in.
• Problems 12 - 17 may be worked on with one other person.
• If there is an odd number of people taking the test, and no one wishes to work alone, then there may be one group of three.
• You should decide who you want as a partner before the day of the exam, rather than coming into the exam and seeing who is available.
• There is no requirement that you work with anyone else. You will be given the entire exam at one time, but you may not get together with a partner before turning in the first section.

Last updated: Thursday, July 3, 1997 at 8:59 AM