304-hw10 2010 Pval + 2sample_1

304-hw10 2010 Pval + 2sample_1 - CEE 3040 - UNCERTAINTY...

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CEE 3040 - UNCERTAINTY ANALYSIS IN ENGINEERING Homework #10 Due:   Wednesday,   November 17, 2010 Read:  Devore §  7.4, 8.4 - 8.5, 9.1-9.3 Goal:    This homework continues to focus on hypothesis testing. Students should know and be able to explain the basic principles of 2-sample hypothesis tests, and how to select the hypothesis, to perform appropriate tests, to evaluate the type II error, and to estimate the required n for given target type I and II errors ( α and b) for this application. We also go back to Chapter 7 to briefly touch on the Chi-Square distribution, which appears in a small part of the homework but will not figure further in the course, nor on the final exam. Lastly, P2 in the supplemental problems asks you to think about ethics in engineering. Assignments (Optional)   ActivStats Lessons Note: sampling will be covered briefly in Lec.30 on 11/8/2010.  Chap.10 material will help deepen your  understanding of sampling.  (a)  Look at activities one and two on page 10-1:  “Populations and Samples” and “Frito Lay Sampling for  Quality”   • How is the definition of the population determined? • What is a “Simple random sample”?   • Why not just examine every individual in the whole population? (b) Look at the two activities on page 10-2: “Sources of Sampling Bias” and   “The Literary Digest  poll…” • What TWO fatal mistakes did the  Literary Digest  make? (c) Look at the two activities on page 10-3.   • From the first, “Biased question wording”, what four problems should one try to  avoid when conducting a survey? • What are the answers to the second activity, “Sampling terminology review”? 1
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CEE 3040 - UNCERTAINTY ANALYSIS IN ENGINEERING Note: Chapter 9 addresses Least Squares regression - a very important, useful, and powerful tool in a  statistician’s toolbox. Regression is the focus of the lectures during the week of Nov.15-19, and Chap.9  material will support your learning in this area. (a)  Look at first activity (Manatee video) on page 9-1, “Identify variables…”  (b)  On page 9-3 look at first two activities (“Residuals” and “The 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 (“Find the Relationship…”) and Three 
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304-hw10 2010 Pval + 2sample_1 - CEE 3040 - UNCERTAINTY...

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