Let X1,X2,X3,X4 be a random sample of STATZDDI scores, assumed to be mfg,\" of), and let Y1, Y2,Y3,Y4,Y5 be a random sample STATZDDE scores, assumed to be ntfpwo'). Suppose X1,X2,X3,X4,Y1, 13,13, Y4, Y5 are independent, and the following data are observed: x1 = ?5,x2 = 95,:r3 = 30,13, = 651,3;1 = 80,3;2 = ?5,y3 = 90.3.54 = ?D,y5 = 70. {a} Find a 95% confidence interval for 0;. [4] 0.2 {b} Find a 95% confidence interval for 11: Y [4]