3.12 A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men's shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducts a completely randomized experiment with five levels of cotton content and replicates the experiment five times. The data are shown in the following table. a) Write out the effects model, for each symbol in the model write what the symbol represents in terms of the problem b) Is there evidence to support the claim that cotton content affects the mean tensile strength? Use 0.05. c) Analyze the residuals from this experiment and comment on model adequacy. d) Use the Bonferroni method to make comparisons between the pairs of means. What conclusions can you draw? e) Use the Tukey method to make comparisons between the pairs of means. What conclusions can you draw? f) Use the Scheffe procedure to make comparisons between the pairs of means. What conclusions can you draw? g) Compare and contrast the intervals computed in parts d), e), and f)