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A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An article in Lubrication Engineering (December 1990) described the results of an experiment designed to investigate the effects of carbon material properties on the progression of blisters on carbon face seals. The carbon face seals are used extensively in equipment such as air turbine starters. Five different carbon materials were tested, and the surface roughness was measured. The data are as follows: Carbon Material Type Surface Roughness EC10 0.50 0.55 0.55 0.36 EC10A 0.31 0.07 0.25 0.18 0.56 0.20 EC4 0.20 0.28 0.12 ECI 0.10 0.16 a) Find the residuals for this experiment. Does a normal probability plot of the residuals indicate any problem with the normality assumption? b) Plot the residuals versus "yj. Comment on the plot. c) Find a 95% confidence interval on the difference between mean surface roughness for the EC10 and the EC1 carbon grades.
Transcribed Image Text:An article in Lubrication Engineering (December 1990) described the results of an experiment designed to investigate the effects of carbon material properties on the progression of blisters on carbon face seals. The carbon face seals are used extensively in equipment such as air turbine starters. Five different carbon materials were tested, and the surface roughness was measured. The data are as follows: Carbon Material Type Surface Roughness EC10 0.50 0.55 0.55 0.36 EC10A 0.31 0.07 0.25 0.18 0.56 0.20 EC4 0.20 0.28 0.12 ECI 0.10 0.16 a) Find the residuals for this experiment. Does a normal probability plot of the residuals indicate any problem with the normality assumption? b) Plot the residuals versus "yj. Comment on the plot. c) Find a 95% confidence interval on the difference between mean surface roughness for the EC10 and the EC1 carbon grades.
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