Problem 1 The study results from taking blood glucose levels in mmol/l from independent groups of normal and diseased mice is given in the le \"mice glucosecsv\". What experimental design is this? Fit a linear model to this dataset. Perform and interpret diagnostic plots for the model t and comment on them (i.e. check the assumptions). Estimate the effect size of interest here (use the linear model t from above). Compute a pvalue to indicate the strength of evidence against the null hypothesis of no difference in location of the distributions of these two samples using: (1) a parametric test (use the linear model t from above do not calculate from rst principles) ; (2) a nonparametric test and (3) a computeintensive test. Comment on the assumptions, advantages and limitations of each method. For the parametric test, list both the test statistic and pvalue, and interpret the pvalue. #