# Math 113 - Final Exam Study Guide

1. Understand the difference between mean, median, and mode. Be able to create a sample that has the given values.
2. Label a bell curve to demonstrate the 68-95-99.7 rule.
3. Use the standard normal table to find the area under the curve. Three parts.
4. Determine whether or not the graph chosen is an appropriate display for the data available. For example, "A histogram for the frequency of each color of M&Ms" would not be appropriate because a histogram is for displaying quantitative data and the colors are categorical (a bar chart, pie chart, or frequency distribution would be appropriate). Five parts.
5. Determine the type of sampling used. Five parts.
6. A frequency distribution is given. Find three simple probabilities. Then find four probabilities of several events happening. Look at problems like "all three", "none of the three", and "at least one of the three".
7. You are given a joint frequency table (contingency table). Use it to find some probabilities. These probabilities could be joint (event A and event B at the same time), marginal (only one event is mentioned), union (event A or event B [or both]), or conditional (given one event has already happened, find the probability of another). Leave your answer as fractions. Conduct a test for independence from the contingency table.
8. Identify whether or not the situation is a binomial experiment. If not, explain why not. Three parts.
9. A probability distribution is given. Find the mean and standard deviation. The table with xp(x) and x2p(x) is given for you to complete, but you'll need to know what to do with the values after finding them.
10. Construct a box plot from the five number summary. Conduct a two sample t test.
11. Conduct a hypothesis test about proportions.
12. Conduct a test for correlation. Be able to write the regression equation from the table of coefficients. Be able to find the missing values in the table of coefficients. Estimate the response variable for the given value of the predictor variable. Be able to find the coefficient of determination when you're given the correlation coefficient.
13. Write the concept that is fundamental to all hypothesis testing.
14. Write the hypotheses for a one-way ANOVA test, complete the ANOVA table given the SS column and information about the data. Give the decision and conclusion for a one-way ANOVA test.
15. Complete a two-way ANOVA table. This problem is comparable to the "difficult" problems from the ANOVA generator we used in class.
16. Read a statement and decide whether it is the null or alternative hypothesis.
17. Read a statement and decide whether at type I error or a type II error has been committed.
18. Given critical value(s) and a test statistic, identify the test as left tailed, right tailed, or two tailed and give the decision. Three parts.
19. Given a p-value and significance level, write the decision. Two parts.
20. Given a confidence interval and a claimed value, identify the test as left tailed, right tailed, or two tailed and give the decision. Three parts.
21. A curve is given along with a significance level and critical value. Draw and label a vertical line at the critical value, shade and label the critical region, label the non-critical region, label the area in each region using α notation, relate the region to the decision by writing retain H0 or reject H0 in each region. Identify the test as left tailed, right tailed, or two tailed.
22. For each claim, write the null and alternative hypotheses and identify the test as left tailed, right tailed, or two tailed. Four parts.

## Notes

• For the most part, questions are similar to questions from your old tests. There are a few exceptions.
• Go through your old tests and correct the problems you missed (or at least those that are like questions on the final).
• This exam is open notebook. This may include your old tests, activities, technology projects, etc. I would certainly put this study guide in the front of your notebook. You may wish to go through and organize your notes or tests according to this study guide. Put stick-it-notes or otherwise mark the sections you will need during the exam.
• You may wish to prepare a note-sheet with the key points to the problems rather than flipping through your notes to answer questions. This will save a lot of time and then you can use your notes for the things that aren't on the note sheet.
• Pay attention to which questions are worth a lot of points.
• You may not use your textbook. The normal, t, and chi-square tables will be provided for you during the exam.
• The computers will be off during the exam. You do not need Minitab.
• You will need a calculator.
• If you need 50 points to keep your C in the class, be sure you answer more than 50 points worth of questions just in case you miss some.

## Time Limit

People have a tendency to slow down and forget that they know anything during an open notebook exam. To help speed the process along, you have your choice from the following options.

1. You may begin your final exam without your notes. Once you have answered all that you can answer without your notes, you may let the instructor know, get out your notes, and then continue working on the exam using your notes. However, once you get out your notes, your time is limited to one hour and then you must turn in your test whether or not you are finished. Since your time using notes is limited, you will want to make sure they are organized and key topics have been marked.
2. You may fill the front and back of a piece of paper (no larger in area than an 8.5" x 11" sheet of paper) with notes and use those notes for the entire duration of the test.

You must let the instructor know which method you prefer before starting the exam. You may not combine the options.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Total 4 5 12 10 10 14 16 6 6 12 13 12 4 10 10 6 6 6 4 6 12 16 200