(b) (15 points). If X is a Bernoulli random variable taking values in {0,1}. We order the observations in such a way that the rst 50 observations have X1- : 0 (1 S i S 50) and the later 50 observations have Xi = 1 (51 S i S 100). Consider that X is a group indicator and Y is a response variable. Perform a two sample ttest for which H01H0=M1 HA 3 Mo1 where M = E(Y|X = j) for j = 0,1. Compute the tstatistic