In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below. Observations Cotton Percentage 2 3 4 1 7 15 11 9 15 7 12 17 12 18 18 20 14 18 18 19 19 25 30 19 25 22 19 23 35 10 11 15 11 (a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength. Does cotton percentage affect breaking strength? COTTON (b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05. Calculate to 2 decimal places fo: Does cotton percentage affect breaking strength? (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does the assumption of constant variance seem reasonable? STRENGTH
In Design and Analysis of Experiments, 6th edition (John Wiley & Sons, 2005) D. C. Montgomery describes an experiment in which the tensile strength of a synthetic fiber is of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five levels of cotton percentage are used, and five replicates are run in random order, resulting in the data below. Observations Cotton Percentage 2 3 4 1 7 15 11 9 15 7 12 17 12 18 18 20 14 18 18 19 19 25 30 19 25 22 19 23 35 10 11 15 11 (a) Analyze the box plot to determine if cotton percentage has an effect on breaking strength. Does cotton percentage affect breaking strength? COTTON (b) Perform an analysis of variance to determine if cotton percentage appears to have an effect on breaking strength. Use a = 0.05. Calculate to 2 decimal places fo: Does cotton percentage affect breaking strength? (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does the assumption of constant variance seem reasonable? STRENGTH
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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