The data represent the score that a consumer group assigned to various insect repellents. Higher scores indicate better protection against insects. The application method for each repellent is either aerosol spray, a manual pump, or a paper-type wipe. We want to determine whether or not the mean score is the same for all application methods. Apply analysis of variance techniques with significance level 0.05 to answer the following questions. (Note that there are not the same number of repellents in each category.) (a) Verify that the assumption of normality has not been violated. Provide the p-value of each test: for Aerosol for Pump for Wipes (b) Verify that the assumption of equality of variances has not been violated. Provide the p-value of the appropriate test. (c) Is there evidence to conclude that the means are different for the various categories? (yes or no) Provide the p-value of the test you use to make this decision. (d) Identify which, if any, categories have different means, and provide the p-value of each test. Is the mean for Aerosol different than the mean for Pump (yes or no)? p-value? Is the mean for Wipes different than the mean for Aerosol (yes or no)? p-value? Is the mean for Wipes different than the mean for Pump (yes or no)? p-value?