Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipe helps produce more or less energy. He collected random samples of manure and bananas from the farm prepared 15 bottles each of both mixtures, and placed ballon on top of each bottles. After two weeks, he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. PLEASE ANWER FAST!

Need solving this second acceleration problem.

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) ).

A. 15 degrees b. 45 degrees c. 30 degrees d. 60 degrees