# Study Guide: Chapters 5 - 6

## Math 113

1. Multiple choice: Know which distributions are symmetric about their means. (4 pts)
2. Multiple choice: Know which distributions require degrees of freedom. (4 pts)
3. Multiple choice: Know which distributions to use when finding confidence intervals. (4 pts)
4. Multiple choice: Know the properties of the standard normal distribution. (4 pts)
5. Multiple choice: Know the properties of the Student's t distribution. (4 pts)
6. Multiple choice: Know the properties of the Chi-square distribution. (4 pts)
7. Multiple choice: Know the techniques which will raise or lower the maximum error of the estimate. (4 pts)
8. Multiple choice: Know the properties of the sampling distribution of the sample mean. (4 pts)
9. True-False: Know when to approximate the binomial using the normal. (2 pts)
10. True-False: Know the best point estimate for the sample mean. (2 pts)
11. True-False: Know the best point estimate for the population variance. (2 pts)
12. True-False: Know the difference between a parameter and a statistic as far as estimation is concerned. (2 pts)
13. True-False: Know the relationship between the area in the tails and the level of confidence. (2 pts)
14. True-False: Know the meaning of level of confidence as it applies to "how sure" you are. (2 pts)
15. True-False: Know when to apply a continuity correction factor. (2 pts)
16. Three parts. Look up a z-value, t-value, and chi-square value in the tables using the alpha notation. Example: z(0.05), t(16,0.05), chi-square(12,0.95). (6 pts)
17. Two parts. Find the left and right Chi-square critical values for a confidence interval. Look at section 6.4, problems 1c, 2c. Find the sample size when the t-value and level of confidence are known. (4 pts)
18. Three parts. Complete a table (1 pt). Determine the degrees of freedom for a given problem (2 pts). Determine the type of sampling used (2 pts). You are given a sequence of clues. Every clue which is necessary is a degree of freedom. Every clue which was unnecessary because you could have figured it out from the other numbers is not. (5 pts)
19. Seven parts. Determine standard normal probabilities from the table for each part (2 pts each). Also, sketch the region being asked for in each part (1 pt each). Look at section 5.2, problems 1 - 24. (21 pts)
20. Approximate a binomial distribution using the normal distribution. Look at section 5.5, problem 7. (4 pts)
21. Two parts. Find the probabilities of events using a non-standard normal distribution. One of these is for an individual score, and the other is for a mean score. Look at section 5.4, odd problems 1 - 19*. (8 pts)
22. Find the probability of an event occuring using a non-standard normal distribution. Look at section 5.3, odd problems 9 - 29*. (4 pts)
23. Find the cutoff scores for a test if a certain percentage of the class is to receive a certain letter grade. Look at section 5.3, problem 33. (4 pts)

Problems 1 - 19 are to be worked individually. 80 points
Problems 20 - 23 may be worked with a partner. 20 points
* - Problems are directly from the text.