Question: In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001) D. C. Montgomery describes an experiment in which the tensile strength of

In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001) 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.

(a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use a = 0.05.
(b) Plot average tensile strength against cotton percentage and interpret the results.
(c) Analyze the residuals and comment on model adequacy.

Observations Cotton Percentage 3 15 15 9. 11 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 10 11 15 11

Observations Cotton Percentage 3 15 15 9. 11 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 10 11 15 11

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a Analysis of Variance for STRENGTH SS Source COTTON 47576 Error 16120 Total 24 63696 Rejec... View full answer

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