\f1.1 1.2 1.3 1.4 1.5 Write the treatment effect model for this study with the assumptions required for the analysis (Note: You must dene the two termsfnotations used in the model). (5) Construct boxplots of the data. Report on the normality and the homogeneity of variance. (8) Perform analysis of variance of improvement scores versus training type and test the hypothesis of no difference among mean improvement soores at 5% level of significance. Provide the null and alternative hypotheses, critical region (or rejection region), test statistics and your oonclusions. (5) Perform tests on all painvise comparisons of treatment (i.e training type) means using the appropriate R results from the output presented at the 5% level of significance. For each test provide the null hypotheses, critical region (or rejection region), test statistic and conclusions. (15} Perform residual analysis and model checking. Were any of the assumptions violated? Explain. (T)