Question 6: Russ worked a total of 135 hours during the month of July. He earned $3,600. Russ earned $25 per hour each weekday that he worked. He earned $40
per hour each Saturday that he worked. Let x represent the number of weekday
hours worked and y represent the number of Saturday hours worked. Which
system of equations represents this situation?

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) ).