Jan needs to buy a backpack and several folders for school. If she shops at Smart
Supply, the backpack will cost $45 and folders
cost $0.45 each. If she shops at The Supply
Guys, the backpack will cost $50.40 and folders cost $0.15 each. Write and solve an
inequality to find the number of folders Jan would need to buy for The Supply Guys to be
the cheaper option.

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) ).