II Pause Reasoning With Rational Numbers Common Assessment 2020-2021 / 2 of 10
Ryan is shopping for a cell phone. The first phone he looked at cost $67.89. The second phone he looked at cost $14.90 less than the first
phone. He also wants to buy a cover for the phone for $9.99. What is the total cost of the second phone with the cover before taxes?

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) ).