Question 6 [10]: Two groups, A and B, of arthritis sufferers are given a placebo and a prescription drug respectively for a period of one month. Then, the time in seconds taken to walk 10 yards in measured. The measured times in the two groups are Al, . .., Am and B1, ..., Bn. It is required to test the hypothesis Ho : u = v where u and v denote respectively the mean walking times in the (hypothetical) populations to sufferers treated with the placebo and prescription drug respectively. Express the data in linear model form Yi = Bo + xiBitei, i= 1, ..., m+n, in such a manner that hypothesis Ho : u = v is equivalent to the hypothesis Ho : B1 = 0. Express clearly Bo and B1 in terms of u and v and express Y1, . .., Ym+n in terms of A; and Bi. Also give the numerical values of X1 , .... Im+n