Consider a test oan: n s 1th] vs H.: u :- l, where r3=IIJJ1 The test is to he performed at a signicance level of n: = Bill, (a) What sample size would he needed for the power of the test to he [LSD when n - 1132? {b} What sample size would he needed for the power of the test to be 0.90 when p - 1132'? The mean of a population is to be estimated using a so% confidence interval. Suppose the populan'on varianoe is known to be e2 = 3 units'- (a) What sample size is needed in order to obtain a eonfidenee interval with margin of error equal to E = i unit? {in} What sample size is needed in order to obtain a eonfidenee interval with margin ol'error equal to E = [15 units? \f