Math 113: Study Guide - Chapters 5-6

---

1. Know which distributions (uniform, binomial, normal, t) are symmetric about their mean
2. Know which distributions require degrees of freedom
3. Know the best point estimate for the population mean
4. Know the best point estimate for the population proportion.
5. Know which distribution is appropriate in the described situation: Example: A small sample from a normal population with the population standard deviation unknown would be the Student's t distribution.
6. Know the effect of increasing or decreasing the sample size on the maximum error of the estimate.
7. Know the effect of increasing or decreasing the level of confidence on the maximum error of the estimate.
8. Know the relationship between the confidence level and the area in the tails
9. Know properties of the standard normal distribution (multiple choice)
10. Know properties of the Student's t distribution (multiple choice)
11. Know properties of the sampling distribution of the sample means (multiple choice)
12. Given a confidence level and a critical value from the t-table, find the sample size. Remember that the t-table gives degrees of freedom, you will need to add 1 to get the sample size.
13. Know why statistics are calculated and parameters are estimated
14. Know what a confidence interval means. Refer back to the discussion about military garb.
15. Know the difference between a standard normal a non-standard normal distribution
16. Given either the sample mean or sample proportion and margin of error, find the confidence interval.
17. Given a confidence interval, find the sample mean and the maximum error of the estimate.
18. Competitive Test problem. Given the mean and standard deviation of test scores, find the probability of receiving a certain grade if grades are assigned competitively. Only one letter grade is given.
19. Application problem using a non-standard normal distribution. Straight from the text in 5.3. Looking through your lecture notes would be wise.
20. Identify the distribution from the graph. Need to know what an uniform, binomial, normal, and Student's t distribution looks like.
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 in 5.5.
22. Look up a z-score and t-score from the tables using the alpha notation. Z_0.05 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 seven parts. You must draw the picture and find the probability. There is a normal graph given, you just need to shade the proper portion.