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MATH 260: Elements of Statistics Exam #3 Review Sheet Sections Covered: Sections 7.4 - 7.5, Chapter 8 (All), Sections 9.1 - 9.2 Exam Format - Part of the exam is multiple choice; the other part consists of open-ended problems. NOTE: Be sure to bring a calculator and make sure you can use the statistical functions on it! The Key Concepts: 1. 2. 3. Sections 7.4-7.5 focus on sampling distribution of the mean. You need to know formulas from Chapter 7, as they will not be provided. a. For the sampling distribution of the mean: i. Know the four “facts” taught in class, and how to apply them. This includes knowing any “sample size” requirements for a given procedure. ii. Be prepared to do probability questions using either a single observation from a normal (like earlier in Chapter 7) or for a mean of a random sample (using the four facts, like in Sec 7.5). Chapter 8 focuses on point estimation and confidence intervals. Formulas for this section will be provided. a. Be able to construct and interpret a confidence interval for a population mean ì. This includes knowing when to use a z-interval and when to use a t-interval. b. Be able to construct and interpret a confidence interval for a population proportion p. c. Know how to compute sample sizes for a given level of confidence and margin of error. (This is both for proportions and means). d. Know how to use both the z-table and t-table. Section 9.1 - 9.2 Focus on Hypothesis Testing: a. Practice writing null and alternative hypotheses. b. Review Type I and Type II Errors. c. Know how to construct a critical region. d. Know how to calculate and interpret p-values. e. Practice with your seven-step hypothesis testing template. f. Know how to do the two primary hypothesis tests in this section: (1) Z-Test for a Population Mean ì (ó known) (2) T-Test for a Population Mean ì (ó unknown) How to study? The best way is to PRACTICE, PRACTICE, PRACTICE! - Multiple Choice Section: In this section you will be asked to do “quick calculations,” i.e. those that do not require more than one or two steps. You will also be asked to answer questions about the terminology we’ve learned. For the multiple choice questions, I would recommend reviewing the class notes. Also, the first few problems in each assignment would be a good source for these types of questions. - Problem Section: The problems selected are meant to model homework problems and class examples. Homework and book examples are good sources to practice your skills. The lists above certainly may not cover every detail that might be on the exam. But, if you verify that you understand the concepts above, you should be well on your way to good preparation for the test!