1-69. Lacey and Haley are rewriting expressions in an equivalent, simpler form.
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a. Haley simplified 23 .z and got 25. Lacey simplified 23 +22 and got
the same result! However, their teacher told them that only one
simplification is correct. Who simplified correctly and how do you know?
b. Haley simplifies 35.45 and gets the result 1210, but Lacey is not sure. Is Haley
correct? Be sure to justify your answer.

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) ).