2. (5.77) 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. Data on excel file Q2-strength.xlex. Use MINITAB to answer the questions a. Construct box plots of the data. Looking at the box plots would you say that cotton percentage affect breaking strength? Explain. b. Perform an analysis of variance. Use a P-value approach. Write your conclusions in terms of the problem. c. Which specific means are different? Perform a follow up analysis using Tukey. Which percentage of cotton fiber will you recommend as the best? Why