In an experiment to compare two diets for fattening beef steers,nine pairs of animals were chosen from the herd: members of eachpair were matched as closely as possible with respect to hereditaryfactors. The members of each pair were randomly allocated, one toeach diet. The following table shows the weight gains (Ib) of theanimals over a 140 day test period on diet 1 (Y1) and on diet 2(Y2). Pair Diet 1 Diet 2 1 596 498 2 422 460 3 524 468 4 454 458 5538 530 6 552 482 7 478 528 8 564 598 9 556 456 (A) Construct a 99%confidence interval for the difference in mean treating the samplesas paired. (B) Interpret the confidence interval.