304_Hw5Multivariate - CEE 304 ­ Uncertainty Analysis in...

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Homework #5 Due:   Mon, September 24, 2007.     LONG assignment.  Start early.   ActivStats is RECOMMENDED  but  OPTIONAL (i.e. no points awarded) Read:   Devore  5.1-5.3, 5.5;  handouts Moment analysis discussed in Devore7, p. 182 #124-25; p. 226 # 93-94. and in Lecture Notes #13.   [Devore6, p. 203 #118-119; p. 252 # 93-94] Goal:   First problems exercise new and powerful concepts related to joint distributions  of several random variables. You have now seen a number of examples of random  variables and should know how to use this mathematical machinery.  Problems Q2  and Q3 show what you can now do with approximate moment analyses. This is how  uncertainty analysis is done! Q4 focuses on issues that can be confusing. Assignment ActivStats   (OPTIONAL this week)  lessons related to  Central Limit Theorem,  Lec. #15.   The Central Limit Theorem is really remarkable. Please consider the following exercises (a) Page 16-1, second lesson: “Understand how simulation illustrates….” (b) Page 16-2, lesson one: “Simulate the sampling distribution of the mean.”  (c) Page 16-3, lesson one: “Discover the Sampling Distribution of the Mean… ”.   n = # of observations per batch  Change n and see how the number of sliders changes.  Try n = 1 to get the original distribution. Batch = # of means computed at one time.  Count records TOTAL # of batches. Get count ≥ 500 to really see normality Bin determines how many histogram bins.   Press    Sample   for more data. (d) What are the answers to review questions in fourth activity on
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This note was uploaded on 02/02/2008 for the course CEE 3040 taught by Professor Stedinger during the Fall '08 term at Cornell.

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304_Hw5Multivariate - CEE 304 ­ Uncertainty Analysis in...

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