## Math 170/171: Study Guide - Final Exam

1. Properties of the Standard Normal distribution.
2. Properties of the Student's T distribution.
3. Properties of the Chi-Square distribution.
4. Properties of the F distribution.
5. Properties of the Binomial distribution.
6. Properties of the Sampling distribution of the sample means
7. Statistics which are affected by extreme values.
8. Statistics which include all data values.
9. Five number summary.
10. Assumptions of Chi-Square Goodness of Fit test.
11. Assumptions of Chi-Square test for independence.
12. Assumptions of One-way ANOVA.
13. Assumptions of Two-way ANOVA.
14. Possible relationships when there's significant linear correlation.
15. Properties of the linear correlation coefficient.
16. Requirements for having a Binomial experiment.
17. Requirements for having a Multinomial experiment.
18. Properties of probability distributions.
19. Identify independent events.
20. Identify independent samples.
21. Write the original claim in symbolic form and identify whether it is the null or alternative hypotheses for each of five statements. Some of these will require that you define your subscripts. Also, if there is a dependent sample case, be sure to define which way you're subtracting the values.
22. For a probability distribution, find the mean, variance, and standard deviation.
23. Find three probabilities from the Standard Normal table. Also, find the Z-score given the probability for one part.
24. Identify the type of sampling used as cluster, convenience, random, stratified, or systematic (four parts).
25. Identify the best term defined. Twelve parts. Most of these are related to something in the Glossary of Symbols located on the inside back cover. Study the definitions from the previous study guides.
26. Find the mean, median, standard deviation, variance, and range for a sample. Compute a confidence interval for the mean. Use the confidence interval to perform a hypothesis test. Test a claim about the standard deviation.
27. Regression Analysis: Compute the correlation coefficient, test the claim of no significant linear correlation, determine the equation of the regression line, estimate the dependent variable for a given value of the independent variable.
28. Given a p-value and a claim for a test you've never seen before, give the decision and conclusion.
29. Given values which have been rated, provide the ranking.
30. Simulation problem. Be sure you know how to generate random number on the calculator.
31. Perform a chi-square goodness of fit test.
32. Find binomial probabilities and approximate using the normal distribution.
33. Perform a one-way analysis of variance. The Sum of Squares values are given to you along with the sample sizes. The summary information is not given.
34. Create a joint probability distribution given some conditional probabilities. Answer certain questions based on the joint pdf.
35. Perform a runs test for randomness. Look at problems 14.89 - 14.97*

• Several of the problems say "properties" or "assumptions". Some of the properties include assumptions, and some of the assumptions include properties.
• Problems 1 through 20 are multiple choice with 4 parts each.
• One question which certainly could be asked for each of the first six problems is what the mean of that distribution is.

Problems 1 - 20 are 1 point per part (80 points).
 # 1-20 21 22 23 24 25 26 27 pts 80 10 6 8 4 12 16 9 # 28 29 30 31 32 33 34 35 pts 4 4 6 8 8 10 10 5

Last updated: Sunday, July 27, 1997 at 10:48 PM