Problem II. ( 40 points) The wrinkle resistance of synthetic fiber used to make cloth for men's shirts is of interest to a manufacturer. The researcher wanted to determine the degree to which wrinkle resistance is affected by the percentage of cotton in the fiber. Five levels of cotton percentage are used in the study: 15%, 20%, 25%, 30%, 35%. Five specimens of fabric are randomly selected for each level of cotton percentage. The data was analyzed yielding the following summary statistics for the wrinkle resistance of the synthetic fiber (psi): % Cotton Wrinkle Resistance yi. ni 15 7 7 9 11 15 9.80 11.20 5 20 12 17 12 18 18 15.40 9.80 5 25 14 18 18 19 19 17.60 4.30 5 30 19 25 22 19 23 21.60 6.80 5 35 12 10 11 15 11 11.80 3.70 5 Overall 15.24 7.16 25 Use the attached SAS output to assist you in answering the following questions. Provide a justification for each of your answers. 1. Is there significant evidence that the percentage of cotton in the fabric has an impact on the average wrinkle resistance of the fabric? Use of = 0.05 in reaching your conclusion? 2. Which, if any, of the percentages of cotton yield an average wrinkle resistance that differs from the average wrinkle resistance of the 35% cotton treatment? Use of = 0.05 in reaching your conclusion