Beetles. The following data were extracted from a more extensive study by Sokal and Karten (1964). The data represent mean dry weights (in milligrams) of three genotypes of beetles, Tribolium castaneum, reared at a density of 20 beetles per gram of flour. The four independent measurements for each genotype are recorded below: Genotypes ++ +b bb 0.958 0.986 0.925 0.971 1.051 0.952 0.927 0.891 0.829 0.971 1.010 0.955 Test whether the genotypes differ in mean dry weight. Take a = 0.01. a. Do you need a one-way or a two-way ANOVA test? Justify your answer. b. Write an ANOVA statistical model and state Ho and Hi in terms of your model. c. What is your decision if a = 0.05? d. Using the same conditions and data table in Problem 2, but assuming there are no equal variances, would your decision made in 2c change if you used Welch's ANOVA test