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Lecture Notes for STT 351 - Prob & Statistics Engineering with Lepage at Michigan State (MSU)

Assignment Information

Material Type:Assignment
Professor:Lepage
Class:STT 351 - Prob & Statistics Engineering
Subject:Statistics and Probability
University:Michigan State University
Term:Fall 2007
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STT 351-001 and 351-002 Assignment due in class Wednesday 10-31-07 This assignment covers bootstrap confidence intervals. You will need to work with Little Software2 in a university lab. 1. For the data of problem 66, Chapter 1, a. Enter flow = {4.6, 12.3, ..... , 8.2, 6.3}. Remember to use shift + enter. There are 129 data values. b. Enter ci[flow, 1.96], which will give you the usual 95% z-based ci for the population mean of flow rate for houses in Perth. c. Compare (b) with the bootstrap confidence interval bootci[mean, flow, 10000, 0.95]. d. Plot a kernel density estimate for the population density of flow rates in Perth (e..g. smooth[flow, 0.8]). What you do is try to find the smallest bandwidth (finest resolution) that seems to hold up when applied to a with replacement sample of 129 from flow. For example, try a bandwidth such as 0.8. Then check whether this bandwidth gives about the same picture when a...