Please show all work in R, and answers to all parts of the questions. Do not just show R output Problem 3: Rencher 5.16 [10 pts] Four measurements were made on two species of flea beetles (Lubischew, 1962). The variables were: - y1= distance of transverse groove from posterior border of prothorax (m) - y2= length of elytra (in 0.01mm ) - y3= length of second antennal joint ( m) - y4= length of third antennal joint (m) The data are given in the following Table 5.5. a) Test H0:1=2 using T2. Report and comment on your p-value. [4 pts] b) If the T2-test in part (a) rejects H0, carry out a t-test on each variable. [4 pts] c) Calculate the discriminant function coefficient vector a=Spl1(y1y2). [ 2 pts] Table 5.5. Four Measurements on Two Species of Flea Beetles 2)Page.