1. (a) Given is the following information:

(i) Universe with N =10,000.

(ii) Variance of weight of the cereal containers on the basis of past records = 8 kg. Determine the size of the sample for estimating the true weight of the containers if the estimate should be within 0.4 kg. of the true average weight with 95% probability.

(b)What would be the size of the sample if infinite universe is assumed in the above question?