304_Hw7_LN_Gumbel_Weibull

304_Hw7_LN_Gumbel_Weibull - CEE 304 UNCERTAINTY ANALYSIS IN...

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CEE 304  -  UNCERTAINTY ANALYSIS IN ENGINEERING Homework #7 Due:   Due Monday, October 15, 2007.  Read:   Lec. Notes 18 and  EXAMPLES!    Text Section 4.5 (particularly Weibull  and Lognormal discussion).  By Friday, October 12, read sections 6.1 and 6.2 on  Statistics , and  Devore7 problem 34 on p. 252  [D6 279]  for definition of MSE.  Goal:    This homework finishes our study of probability its applications.  Statistics is the next topic.  What we  have learned of probability allows us to tackle some interesting problems. This assignment provides an opportunity  to learn about and use the lognormal, Gumbel, and Weibull distributions.  The lognormal model is used as a model  of a wide range of phenomena, both physical and biological. The Gumbel and Weibull distributions are especially  applicable for the description of large and small extremes, as illustrated by problems 3 and 4 below.  Problem 5  reviews the 2-parameter continuous distributions that have been covered in the course.   You can use Excel to do  computations, but be clear as to what function in Excel you are using and what the needed inputs are. Assignments ActivStats  ( REQUIRED ) (a) Look at first 2 activities on page 17.1 of Activstats, called either: "Consider what we can learn..." (with 3 T/F question) ......... or ......... 'Confidence Intervals and Sampling Distributions'  The second lesson should be: “Understanding the confidence interval as balance…”   ......... or .........  “Can We Estimate a Parameter?” (with 3 T/F questions) What are the answers to the 3 True/False questions?   3 T/F Questions Are  ...Does sample mean equal the population mean?  ...Does the sample mean probably equal the population mean?
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