# Test Information

Test 1 Info

## Test 1

### Scope

The exam will cover all of chapters 1, 2, 3 and 9 as well as sections 4.1 - 4.3.

Questions on the test will be similar to but not identical to questions from homework and quizzes. They will be designed to try to see how well you understand the material, not how well you can perform various procedures mindlessly. You may be required to compute numerical statistics; draw graphs by hand; analyze data or nummerical or graphical summaries of data; provide short answers to questions, etc. Your reasoning and explanations will be at least as important as your answers.

### Instructions

Read through these prior to coming to the test and follow them when you take your test.
1. Use mathematical notation (especially the equals sign) correctly.
2. Don't be afraid to use words in your explanations.
3. You may use your calculators, and the tables I provide for Standard Normal Probabilities and Chi-Square, but for each number you write on the exam, it must be clear where it came from. For example, if you got .25 by multiplying .5 by .5, I want to see .5 * .5 = .25 on your paper (or words indicating the same).
5. If you get an unreasonable answer, be sure to say so. Give a brief explanation about how you know your answer is wrong (for example, correlation coefficient is negative, but the graph clearly indicates that there is a positive association between th variables.) Then go on to other problems and come back and try to fix the error if you have time at the end of the test period.
6. Even if you cannot do a problem completely, show me what you do know.
2. Short answer questions will be graded based on truth, accuracy, significance and brevity. In short, I'm looking for high quality answers. (For example, if you are asked to give an example of something, pick the best example you can think of, one that makes the issue especially clear.)
3. Test restrictions.
1. The test is closed book. No notes are allowed.
2. Do not write in purple on the exam. (The exam will be graded in purple.)

### Content

Keep in mind the goals for the course (see the course home page). They provide a general framework that will guide me in making the exam.

For those of you who like a bit more detail, here is a list of things you should be sure you know how to do. It is not intended to be an exhaustive list, but it is an important list.

You should be able to:

• Know how to understand, use and explain the words on the vocabulary list. (That list is available on the calendar.)
• Compute nummerical summary statistics (mean, median, mode, range, standard deviation, quartiles, 5-number summary, etc) and know what they tell you about a data set.
• Understand how to make and interpret graphical representions of data (stemplot, histogram, boxplot, pie chart, bar graph, line graph, scatterplot, normal quantile plot (interpret only), etc).
• Read an article (or portion of an article) and evaluate it using the seven critical compents, checklist for pictures, etc.
• Understand the issues involved in collecting good data and the design of studies, including the distinctions between sample surveys, observational studies, and randomized experiments.
• Work with normal distributions. This includes being able to use the 68-95-99.7 Rule and/or Table A to find percentages, z-scores, etc.
• Compute and/or interpret correlation coefficients and regression lines.
• Make use of the basic rules of probability to determine probabilities of events and work with random variables.
• Compute Chi-squared and interpret what it means (using either output from a statistical package or the chart handed out in class).
• Understand the basic framework for hypothesis testing and how to interpret P-values. Be able to carry out a hypothesis test using the Chi-square statistic.
Note that the test will be a sample from the possible topics, it will not be exhaustive.

Test 1 Info

## Test 2

### Scope

The exam will cover chapters 1 -9, focussing on chapters 4-8.

Questions on the test will be similar to but not identical to questions from homework and quizzes. They will be designed to try to see how well you understand the material, not how well you can perform various procedures mindlessly. Your reasoning and explanations will be at least as important as your answers.

### Instructions

Read through the instruction provided before test 1 prior to coming to the test and follow them when you take your test.
• Test restrictions.
1. The test is closed book. No notes are allowed. You will be given a clean version of the inference procedures handout (both sides) and copies of tables for t, z, and Chi-square distributions. Please do not write on theses, they will be saved for future tests.
2. Do not write in purple on the exam. (The exam will be graded in purple.)

### Content

Keep in mind the goals for the course (see the course home page). They provide a general framework that will guide me in making the exam.

For those of you who like a bit more detail, here is a list of things you should be sure you know how to do. It is not intended to be an exhaustive list, but it is an important list.

You should be able to:

• Know how to understand, use and explain the words on the vocabulary list. (That list is available on the calendar.)
• Compute the mean and standard deviation of a random variable and know what they tell you.
• Understand how to make and interpret graphical representions of data (stemplot, histogram, boxplot, pie chart, bar graph, line graph, scatterplot, normal quantile plot (interpret only), etc).
• Understand the issues involved in collecting good data and the design of studies, including the distinctions between sample surveys, observational studies, and randomized experiments.
• Work with normal, t and chi-square distributions. This includes being able to use the 68-95-99.7 Rule and/or Tables to find percentages, z-scores, critical values, etc.
• Make use of basic rules of probability to determine probabilities of events and work with random variables.
• Understand the basic framework for hypothesis testing and how to interpret P-values. Be able to carry out a hypothesis test in any of the settings on our handout. You should also know how and when to use Chi-square, and how to interpret it, but I will not have you actually calculate Chi-square on this test.
• Perform and interpret all of the confidence intervals and hypothesis tests on our handout.
• Be aware of the assumptions that must be true to make use of various statistical procedures.
• Be able to work with distributions of random variables, especailly normal and binomial, but also ones given by a chart. This includes being able to use rules for means and variances to determine the mean and variance of a more complicated random variable from means and variances of simpler random variables.
Note that the test will be a sample from the possible topics, it will not be exhaustive.

Click here to get only the information about the final exam. (Might be better for printing.) Final Exam Info

## Final Exam

### General Info

The final exam is at 6:30pm on Saturday, May 13. Please bring your calculator and something to write with. If possible, do not bring much else with you, it makes the room less crowded. You will be provided with the same handouts as on test 2, including the chart we used for t and z inference procedures.

### Scope

The exam will cover chapters 1-9, 10 and 12.

Questions on the final will be similar to but not identical to questions from homework, quizzes and tests. They will be designed to try to see how well you understand the material, not how well you can perform various procedures mindlessly. Your reasoning and explanations will be at least as important as your answers.

### Format

The test format should look very familiar when you see it, but the distribution of the problem formats will be somewhat different from that of the tests. There will be fewer problems that require significant computation and more problems that require only interpretting output (perhaps with minor computations), and more problems that are of a multiple choice, true/false or short answer format.

Some things you can expect:

• The first two pages are all short answer, true/false and multiple choice. Some additional problems of these types may occur later in the test as well.
• There will be a problem similar to problem 2 on test 2.
• You will need to perform at least one of the tests from "the handout". The data will be given in summarized form.
• There will be several problems requiring you to interpret minitab output.

### Instructions

Read through the instruction provided before test 1 prior to coming to the test and follow them when you take your test.

• Be sure you look over your old quizzes and tests. They reflect both my style and the emphasis of the course.
• I am preparing a hand-out for the last night of class that will give an example of Minitab output (and discussion of it) for a number of the tests we have done this semester. We will discuss these as part of our review that night. It would be good to look over that handout just to be sure you remember what the output looks like, what minitab calls stuff, etc.
• Use good test-taking strategy: Look the test over a bit before beginning. Don't spend too much time on a problem that is giving you difficulty until you have finished the parts you know how to do. You do not have to do the test in order.
• Show your work clearly. Most of you will not see these exams after they have been graded, so make sure you show your work clearly.
• Point values will be given for each problem so you know the relative values as you are taking the test. Budget your time wisely.

### Content

Keep in mind the goals for the course (see the course home page). They provide a general framework that will guide me in making the exam.

For those of you who like a bit more detail, here is a list of things you should be sure you know how to do. It is not intended to be an exhaustive list, but it is an important list.

You should be able to:

• Know how to understand, use and explain the words on the vocabulary list, especially the terms that we have used repeatedly throughout the semester. (The vocab list is available on the calendar.)
• Compute/make nummerical and graphical summaries of data (mean, median, mode, range, standard deviation, quartiles, 5-number summary, etc., stemplot, histogram, boxplot, pie chart, bar graph, line graph, scatterplot, normal quantile plot (interpret only), etc). You should also know what they tell you (and don't tell you) about a data set.
• Read an article (or portion of an article) and evaluate it using the seven critical compents, checklist for pictures, etc.
• Understand the issues involved in collecting good data and the design of studies, including the distinctions between observational studies and randomized experiments.
• Understand the basic framework for hypothesis testing and confidence intervals, including the meaning of P-values.
• Understand, perform, and interpret statistical procedures covered in this course (z, t, Chi-square, ANOVA, regression), but note that
• 2-way ANOVA will not be covered.
• You should know how an ANOVA table works and how to interpret ANOVA output (from Minitab, for example).
• You will not need to know the formulas for the various tests and confidence intervals associated with regression, but you should know how to read computer output, understand the various tests that are available, etc.
• Be aware of the assumptions that must be true to make use of various statistical procedures and the situations in which they are used.
• Make use of the basic rules of probability to determine probabilities of events and work with random variables.
• Compute the mean and standard deviation of a random variable and know what they tell you.
• Be able to work with distributions of random variables, especailly normal and binomial, but also ones given by a chart. This includes being able to use rules for means and variances to determine the mean and variance of a more complicated random variable from means and variances of simpler random variables.
Note that the test will be a sample from the possible topics, so some topics from the above list will not appear on the test.