| Kenyon College | |
| Mathematics Department | Homepage |
| OfficeHours | Exams | Schedule and Homework | Documents |
| Date | Material Covered | Reading Assignment | Homework |
|---|---|---|---|
| 1/16 | Course Introduction Chapter 1 |
Chapter 1, 3.1-3.3 | Ch 1 # 8, 9, 12, 18, 20, 26 |
| 1/18 | Minitab Intro Graphical Displays of Data |
4.1-4.3 | Ch 3 # 2, 14, 16, 20, 24, 28 |
| 1/20 | Measures of Center Measures of Spread Boxplots |
4.3-4.4 | Ch 4 # 2, 3, 6, 12, 23, 24, 32 |
| 1/23 | Chebyshev's Rule Empirical Rule Measures of Relative Standing |
6.1 | Ch 4 # 38, 43, 44, 46 Grading on a Curve worksheet - You do not need to write a letter but you should be prepared to discuss your results. |
| 1/25 | Probability | 6.2-6.3 | Take-Home-Assignment on Counting 8s Worksheet Ch 6 # 1, 2 |
| 1/27 | Probability | Appendix A | Ch 6 # 15, 16, 25 Finish AIDS Testing Worksheet |
| 1/30 | Binomial Distribution | 7.1 | Appendix A # 3, 4, 9, Finish the More Problems... side of the worksheet.
Please note that there is an error on page 732. The ! symbols are missing from the first formula. Office Hours are posted near the top of this page. Please come if you have questions!!! |
| 2/1 | Population Distributions | 7.2-7.3 | Ch 7 # 5, 8, 9 |
| 2/3 | Standard Normal Distribution | 7.3-7.4 | Worksheet handed out in class. Ch 7 # 14, 18, 19, 23, 34 Please use the standard normal curve table to do the worksheet. Check your work with Minitab. You may use Minitab to complete the book problems. |
| 2/6 | Normal Probability Plots Normalizing Transformations |
8.1 | Ch 7 # 36, 37, 40 |
| 2/8 | Sampling Variability Central Limit Theorem |
8.2-8.3 | Ch 8 # 2, 9, 10, 13, 19 |
| 2/10 | Central Limit Theorem | 8.3 | Ch 8 # 21 The Distribution of Averages Worksheet # 7 (parts b and c only) |
| 2/13 | Sampling Distribution of Sample Proportions | 8.3 | Ch 8 # 23, 24, 30, 34 |
| 2/15 | Sampling Distribution of Sample Proportions Sampling |
2.2, 2.1 | Ch 8 # 27, 35, 37 |
| 2/17 | Sampling | 2.1-2.2 | Read sections 2.1 and 2.2 Know the following terms for Monday: observational study, experiment, confounding variable, sample, census, selection bias, measurement bias, response bias, nonresponse bias, voluntary response, convenience sampling, systematic sampling, stratified sampling, cluster sampling, simple random sample Complete the Sampling Assignment (Counting Blue Books) |
| 2/20 | Sampling | 2.1-2.2 | Ch 2 # 3, 23, 24, 30 |
| 2/22 | Review for Exam 1 | Chapters 1, 4, 6, Appendix A, 7, 8, 2 (2.1 and 2.2) | Prepare for Exam 1 |
| 2/24 | Exam 1 | 2.3-2.5 | |
| 2/27 | Designing Experiments | 9.1-9.2 | Ch 2 # 33, 35, 40, 42, 45, 46, 52 |
| 2/29 | Point Estimation Estimators |
9.2-9.3 | Ch 9 # 1, 4, 8 Read section 9.2. We will have a short quiz at the beginning of class on Friday over the material in 9.2. In particular, you should be able to construct a confidence interval for the population proportion for any confidence level. Also know the necessary conditions that need to be met in order to build your confidence interval. |
| 3/2 | Confidence Intervals | 9.3-9.4, 10.1-10.2 | Ch 9 # 10, 19, 24, 36, 40 (Use the z critical value on this one because the sample size is very large), 50 (see example 9.10) |
| 3/19 | Hypothesis Testing | 10.3 | Ch 10 # 4, 8, 11, 18, 19 |
| 3/21 | Hypothesis Testing for a Population Proportion | 10.4 | Ch 10 # 26, 28, 30, 38, 39 Make sure you are checking the assumptions that need to be met in order to use the hypothesis tests we developed. Also, remember to interpret the symbols you use and your results in terms of the problem. |
| 3/23 | Hypothesis Testing for a Population Mean | 10.5 | Ch 10 # 44, 45, 46, 49, 57 |
| 3/26 | Power and Type II Error | 10.5 | Ch 10 # 61, 62 See example 10.18 if you need guidance on problem 62. |
| 3/28 | Power and Type II Error | 11.1 | Complete the worksheet linked here: Power and Type II Error Worksheet |
| 3/30 | Comparing Population Means for Two Populations | 11.2 | Complete the Comparing Population Means Worksheet so we can discuss it at the beginning of class on Monday.
Please note that the two-sample t-test that we developed in class requires independent samples from the two populations. This means that the result of the sampling process for the first population does not influence the sample process for the second population, e.g., the sample from the Energizer battery population would not affect the sample taken from the Duracell battery population. Notice that this would not be the case in a before and after study, e.g., measuring reading speed before and after a speed reading course (in this case, you would want to pair the speeds of each participant's before and after scores!). We will deal with this in section 11.2. Ch 11 # 2, 3, 5, 8, 15 |
| 4/2 | Comparing Means using Paired Samples | 11.3 | Ch 11 # 29, 31, 34 |
| 4/4 | Comparing Two Proportions | 15.1 | Please note that the approximation for the standard deviation of the distribution of p1hat - p2hat is different in the hypothesis test statistic and the confidence interval calculation. In calculating a confidence interval for the difference in population proportions, we are not assuming equality of p1 and p2. Please check the needed assumptions before completing a hypothesis test or computing a confidence interval. Ch 11 # 40, 43, 48, 51 |
| 4/6 | ANOVA | 15.2 | Ch 15 # 1*, 2*, 3, 7 *For problems 1 and 2, use Minitab to find the exact value of the P-value. For problem 2, you will need to compute the degrees of freedom before graphing the appropriate F-distribution. Please check your email for a sample solution to the problem we finished today's class with. Please remember that the data for the book exercises can be found on the P drive. |
| 4/9 | Tukey-Kramer Simulataneous Confidence Intervals | Chapters 2, 9, 10, 11, 15.1 | Study for Exam 2. Then complete Sample Exam 2. Detailed Project Proposal due on or before April 16 -- Question of interest? State in terms of population parameter(s). What are you trying to infer about the population(s)? How, when, and where will you collect your data? Are you doing an observational study or an experiment? Your proposal should be one half to a full page in length. Please email me if you would like feedback on project ideas before you write up a detailed proposal. (Especially if you are not physically gathering your own data!) |
| 4/16 | Goodness-of-Fit | 12.2 | Ch 12 # 1, 3, 5, 10 Note: #3. Sample size is given so that you can checkt the assumption that the expected counts are greater than or equal to 5. Email me your detailed project proposal by the end of the day (4/16/12). |
| 4/18 | Inference for Two-Way Tables | 12.2-3 | Ch 12 # 14, 17, 19, 44 |
| 4/20 | Correlation | 5.1-5.2 | Ch 3 # 41 Ch 5 # 2, 5, 8, 13 |
| 4/23 | Linear Regression | 5.2-5.3 | Ch 5 # 19, 22, 23, 34 We covered parts of sections 5.2 and 5.3 today. We will finish these sections on Wednesday. |
| 4/25 | Assessing Fit | 5.3-5.4 | Ch 5 # 31, 32, 51 |
| 4/27 | Transformations | 5.4, 5.6, 13.1 | Ch 5 # 47, 52 |
| 4/30 | Regression Inference | 13.1-13.3 | Finish the worksheet we did in class today (not to be turned in).
Solutions
In particular, take note of where to find s_b and the P-value from the
regression output in Minitab. Read example 13.5. Notice how the assumptions of the simple linear regression model are discussed in step 6. Remember that we can get the value of s_b and the P-value from Minitab. (We don't need to do steps 7 and 8 like they do in the textbook.) Ch 13 # 18 (For part (b): Ignore the s_e part. What does r^2 tell you about the amount of variability in y that is explained by the least squares line with x?), 21 |
| 5/2 | Inference for Regression | 13.1-13.3 | Ch 13 # 18, 21, 23, 30 Please see the note above about problem 18. I will post the project guidelines below (in case you lost it). I will post Minitab instructions for creating a standardized residual plot and normal probability plot of the residuals here. Minitab Instructions Here is a sample final for the material we've covered recently. Please note that material from the entire semester will be on the exam. However, the majority of the test will be based on the newer material. Friday will be a day to ask questions about the current homework assignment and the sample exam. One last thing! Please fill out the online course evaluation for this course. Course evaluations allow you to provide feedback and help to make the course better for future students. I always read every comment that I receive, and I incorporate changes based on those comments into my teaching. I encourage you to give lengthy feedback about your experience in the course, my teaching, projects, homework, positive experiences, negative experiences, office hours, approachableness, candy experiments, the trick card game, topics you liked, topics you didn't like, topics you want to see more of, topics you don't think were necessary, etc. THANK YOU in advance for filling the evaluation out! |
| 5/4 | Review | Statistics: The Exploration and Analysis of Data, Peck and Devore. | A sample solution set for the sample final can be found here. |
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