## Math 113: Study Guide - Chapters 5-6

1. Know which distributions are symmetric about their mean
2. Know which distributions require degrees of freedom
3. Know which distributions could be used to find a confidence interval for the population mean
4. Know properties of the standard normal distribution (multiple choice)
5. Know properties of the Student's t distribution (multiple choice)
6. Know properties of the sampling distribution of the sample means (multiple choice)
7. Given a confidence level and a value from the t-table, find the sample size.
8. Know the best point estimate for the population mean
9. Know the best point estimate for the population proportion.
10. Know why statistics are calculated and parameters are estimated
11. Know the relationship between the confidence level and the area in the tails
12. Know what a confidence interval means.
13. Know the effect of increasing or decreasing the sample size on the maximum error of the estimate.
14. Know the effect of increasing or decreasing the level of confidence on the maximum error of the estimate.
15. Given a value and margin of error, find the confidence interval.
16. Given a confidence interval, find the sample mean and the maximum error of the estimate.
17. Know the difference between a standard normal a non-standard normal distribution
18. Test problem. Given the mean and standard deviation of test scores, find the probability of receiving a certain grade if grades are assigned competitively.
19. Application problem using a non-standard normal distribution. Straight from the text in 5.3.
20. Identify the distribution from the graph.
21. Application problem using a non-standard normal distribution. One part is a single value, the other part is involving the mean. Straight from the text.
22. Look up a z-score and t-score from the tables using the alpha notation. Z0.05 means the z-score with 0.05 area to the right which is 1.645. Two parts.
23. Use a standard normal distribution to find probabilities. There are eight parts. You must draw the picture and find the probability.