A dental hygienist might pay about $20,000 for education beyond high school and expect to earn about $70,000 per year. A veterinarian might pay about $153,000 for education beyond high school
and expect to earn about $84,000 per year. Compare the total earnings minus the costs of
education for the careers in 10 years. Which career would you choose if salary was the most
important factor? Explain.

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) ).