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Problem 1: (40 points) In Design and Analysis of Experiments, 7th edition (John Wiley & Sons, 2009), D. C. Montgomery de
Posted: Thu May 05, 2022 6:01 pm
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- Problem 1 40 Points In Design And Analysis Of Experiments 7th Edition John Wiley Sons 2009 D C Montgomery De 1 (56.48 KiB) Viewed 48 times
- Problem 1 40 Points In Design And Analysis Of Experiments 7th Edition John Wiley Sons 2009 D C Montgomery De 2 (56.48 KiB) Viewed 48 times
Problem 1: (40 points) In Design and Analysis of Experiments, 7th edition (John Wiley & Sons, 2009), 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 that follow. Observations Cotton 1 2 3 4 5 Percentage 15 7 7 15 11 9 20 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11 (a)Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use a P-value approach. (b)Plot average tensile strength against cotton percentage and interpret the results. (c) Which specific means are different? (d)Perform residual analysis and model checking.