A. Simple random sample is to be selected from a thousand chicken at the poultry farm to estimate the amount of chicken feeds consumed at the poultry farm in a specific period. Its known that the range for the chicken feeds is 80 . Given a total estimate of 200500 grams of chicken feeds with a bound on the error of estimation of 900 grams, calculate the estimated variance of the average amount of chicken feeds. B. The academic performance of boys, at SQU in general, is less than for the girls. In a pool of 1000 male students, 40% blamed the out-campus housing problem for this unsatisfactory performance, 35% blamed themselves, and the rest blamed the education system. Under a significant level of 5%, does the evidence suggest that the true proportions who blame housing problems and education system, respectively, are different and why?.