Which choice shows 50*36*2 rewritten correctly using the commutative property and then simplified correctly? select one: a. 50*6*6*2=300*6*2=1,800*2=3,600 b. 50*2*36=100*36=3,600 c. 50*6*6*2=300*6=1,800 d. 50*2*36=1,000*36=36,000

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).