Let Yi = b1 + b2xi + ei, i = 1, .. ., m, Y*j = b*1 + b*2 x*j + e*j, j = 1, . .., n, where the e's and e*'s are independent r.v.'s distributed as N(0, s 2). Use Exercises 16.3.3, 16.3.4 and 16.5.1 to test the hypotheses H1 : b1 = b*1, H2 : b2 = b*2 against the corresponding alternatives A1 : b1 ¹ b*1, A2 : b2 ¹ b*2 at level of signi?cance a.