# Exam 2 Study Guide: Chapters 11-17

1. Examine the question for possible bias. If you think the question is biased, indicate how and propose a better question. Look at problems 12.13-15.
2. Read a report about an experiment. Identify (if possible) the factor(s) in the experiment and the number of levels for each, the number of treatments, the response variable measured, the design (completely, randomized, blocked, or matched), and whether it was blind (or double-blind). Look at problems 13.1-18.
3. Identify the type of sampling used in each of the situations. Ten parts. Know the sampling methods from chapter 12.
4. Tell whether or not the probability assignments are plausible. Five parts. Look at problems 14.9-10.
5. Create a probability distribution from a description and then answer questions based on it. The description will be something like "A six sided die is rolled. The odd numbers are twice as likely to occur as the even numbers." Look at problems 14.11-14.
6. Use the probability rules to find some probabilities. Look at problems 15.3-6
7. Find the probabilities of some compound events. Look at problems 14.17-22
8. Find the mean and standard deviation of a binomial experiment. Look at problems 17.10-14.
9. Use a joint probability distribution in table form to find some probabilities. Look at problems 15.9-10, 23-24.
10. Create a tree diagram that illustrates the described situation. Use the tree diagram to complete a table of joint probabilities. Then use the table to answer some probability questions. Look at problems 15.34-36.
11. Find the expected value and standard deviation for a situation. The probability distribution is given, but you need to know the formulas for finding the mean and standard deviation. Look at problems 16.3-8, 11-14.
12. Given the means and standard deviations for two independent variables, find the mean, standard deviation, and variance for new variables formed from the old variables. Three parts. Look at problems 16.23-26.
13. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Five parts. Look at problems 17.1-2.
14. A table of binomial probabilities from Minitab is given. Use them to find the probabilities asked for. Look at problems 17.9-18.
15. Perform a simulation using Minitab. Enter the appropriate choices into one column and then use the Calc / Random Data / Sample from Columns command to choose a random sample. Identify whether or not sampling with replacement is required. Describe what you're looking for in Minitab to know whether or not the simulation is a success or what you're looking for in the sample. Record the outcome of each simulation in a table and repeat the simulation 20 times (you can press Control-E and Enter to quickly repeat the simulation). Answer the question based on the results of your simulation. Look at problems 11.9-29.
16. Similar to question 1.

## Notes

• The last two questions of the test require Minitab to answer. You will work the first portion of the test with the computer screen off and turn in that portion of the test. Then you will pick up the last page of the test from the instructor, turn on the computer screen, and finish the test. Be sure you allow yourself enough time to complete the simulation questions.
• You will not be able to use the computer except for the last two problems.
• Most of the problems are similar to problems in the textbook. Very few of the problems are identical to the problems from the text.
• Whenever there are problems that ask for an explanation, be sure you explain. Those parts are worth more points based on the explanation.
• You will need a calculator.
• When probabilities are asked for, they should be given as decimals unless fractions are specifically asked for.
• In addition to the problems in the book that you should look at, I've created some similar problems with solutions for you to try. There are problems like 10, 11, and 14 on this sheet.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total 4 5 10 5 3 5 8 4 10 6 5 6 10 3 8 8 100