Stat 231 Final F10

# Stat 231 Final F10 - Stat 231 Final Exam Fall 2010 I have...

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1 Stat 231 Final Exam Fall 2010 I have neither given nor received unauthorized assistance on this exam. ________________________________________________________ Name Signed Date _________________________________________________________ Name Printed

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2 1. In a 1992 Journal of Quality Technology paper, Eibl, Kess, and Pukelsheim studied a number of different set-ups for a painting process and their impacts on the variable measured painting coat thickness (mm) y (several pieces of material were painted and evaluated for each set-up considered). Some summary statistics for pieces from each of 5 particular set-ups included in the study are below. Set-up #1 Set-up #2 Set-up #3 Set-up #4 Set-up #5 1 4 n 2 4 n 3 4 n 4 4 n 5 4 n 1 .980 y 2 1.525 y 3 1.130 y 4 1.735 y 5 1.490 y 1 .146 s 2 .100 s 3 .207 s 4 .078 s 5 .080 s Initially, consider ONLY the information from the study about Set-up #1, and assume that for this set-up measured paint thickness is normally distributed. a) Give two-sided 95% prediction limits for measured paint thickness on a single additional item painted under Set-up #1. (Plug in completely, but you need not simplify.) b) Give endpoints of a two-sided interval that you are 95% sure contains at least 99% of all thicknesses for items painted under Set-up #1. (Plug in completely, but you need not simplify.) Now consider ONLY Set-ups #1 and #2, under the assumption that thicknesses of paint on items painted under either set-up are normally distributed. c) Give endpoints of a two-sided 90% confidence interval that compares how consistent Set-ups #1 and #2 are in terms of measured paint thickness produced. (Plug in completely, but you need not simplify.) 5 pts 5 pts 5 pts
3 d) Give 95% two-sided confidence limits for the difference in mean measured paint thicknesses produced by Set-ups #1 and #2. (Plug in completely, but you need not simplify.) Now consider the results from ALL of Set-ups #1 through #5.

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## This note was uploaded on 02/11/2012 for the course STAT 231 taught by Professor Staff during the Fall '08 term at Iowa State.

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Stat 231 Final F10 - Stat 231 Final Exam Fall 2010 I have...

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