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Unformatted text preview: CEE 304 - UNCERTAINTY ANALYSIS IN ENGINEERING Homework #11 Due: Nov. 19, 2007. Monday one week after exam. Most problems (particularly P1-P3) are related to material on 2nd exam, so it makes sense to do them THIS week. If you use ActivStats, it is recommended that you do those activities before Nov. 12 when we will start discussing these ideas in lecture. Read: Read 8.4-8.5 on p-value and testing procedures (topics on exam), and 9.1-9.3 on 2-sample and paired tests. Plus 7.4. After exam regression : 12.1-12.5. See ActivStats Chapters 9 & 24 and particularly page 24-3. Goal: The material in 8.1-8.2 and 8.4-8.5 provides the conceptual basis for hypothesis testing (decision making with statistical data). This homework adds additional tests to your bag of tricks. Material in 7.4 and supplemental problem at the end of chapter 8 consider confidence intervals and hypothesis testing for the variance of normal populations: sometimes one wants to ensure that the process variability is within tolerances. Chapter 9 addresses inference and confidence intervals for the difference between two means: women versus men, process-A versus process-B; before versus after treatment, up stream versus down stream, etc. The ActivStats assignment looks ahead to regression analysis after exam. Chapter 9 discusses the general ideas that motivate the analysis. The optional material from Chapter 24 is good and discusses the statistical analysis of a data set. Regression is used in practice ALL the time. Assignments ActivStats Lessons [OPTIONAL If you are going to do it, best done before Nov. 12.] Chapter 9 addresses Least Squares regression - a very important, useful, and powerful tool in a statisticians toolbox. Lets see what it is about: (a) Look at first activity (Manatee video) on page 9-1, Identify variables (b) On page 9-3 look at first two activities (Understand what residuals, and Understand Least Squares Criterion); what values do you obtain for the intercept and slope of the regression of Manatee deaths on motorboat registrations? (c) On page 24-2 look at activities One (Hubble video), Two (Use regression) and Three (Know how to read the numbers). These activities describe the information provided by a statistical regression analysis. This is the subject of 304 lectures the week after the 2nd prelim. See also on page 24-1, activities Two (Use the Statistics) and Four (Know the Assumptions). Two (Use the Statistics) and Four (Know the Assumptions)....
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- Fall '08