3. [Textbook Exercise 11, Chapter 2) The bioactivity of four dilferent drugs A, B, C, D for treating a particular illness was compared in a study and the following ANOVA table was given for the data: Source D.F. Sum of Squares Mean Squares Treatment 3 64.42 21.47 Error 26 62.12 2.39 Total 29 126.54 a. Describe a proper design of the experiment to allow valid inferences to he made from the data. 1). Use an F test to test at the 0.01 level the null hypothesis that the four treatments have the same bioactivity. Compute the p value of the observed F statistic. c. The treatment averages are as follows: 1:14 2 66.10 (7 samples), 373 = 65.75 {8 samples), g 2 62.63 (9 samples), if?!) = 63.85 {6 samples). Use the Tukey method to perform multiple comparisons of the four treatments at the 0.01 level. d. It turns out that A and B are brandunarne drugs and C and D are generic drugs. To compare brand-name versus generic drugs, the contrast $314 + :53) as: + $9) is computed. Obtain the p value of the computed contrast and test its significance at the 0.01 level. Comment on the difference between brand-name and generic drugs