Question: Cotton percentage in Exercise 13-5. Use α = 0.05. (a) Apply Fishers LSD method with α = 0.05 and determine which levels of the factor
(a) Apply Fishers LSD method with α = 0.05 and determine which levels of the factor differ.
(b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fishers LSD method.
Exercise 13-5
In Design and Analysis of Experiments, 8th edition (John Wiley & Sons, 2012), D. C. Montgomery described an experiment in which the tensile strength of a synthetic fi ber was 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 were used, and five replicates were run in random order, resulting in the following data.

Observations Cotton Percentage 2 3 15 15 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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Significant differences are detected between levels 15 and 20 15 and 25 15 and 30 ... View full answer
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