Problem 3: Consider the infmort data in library faraway. The data include per capita income, infant mortality per 1000 births, and oil exporter status for 5 regions of the world. a) Perform a one-way ANOVA with mortality as the response and region as the predictor. Is the test significant at level 0.05? Answer: b) Check the residuals of the model to see if you detect any problems with the model assumptions such as Normal errors with constant variance. Answer: c) Use the boxcox method to select a transformation of the response. Is the log transformation () =0) included in the 95% confidence interval for the transformation parameter A? Answer: d) Redo parts a) and b) using log mortality as the response. Answer: e) With log mortality as the response, which pairs of regions are significantly different, controlling the family-wise type I error rate at 0.05