A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each coupon code will have one digit followed by four letters. The letters D and E and the digits 0,5, and 8 will not be used. So, there are 24 letters and 7
digit that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?
Пcounon
codes

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) ).