. Students from School A have a mean weight of 52 kg and standard deviation of the weight of 15 kg. while students from School B have a mean weight of 44 kg and standard deviation of the weight of 13 kg. Suppose the weights of the students are independent. students are randome sampled from School A. and 35 students are randomly,r sampled from School B. For each school1 we calculate the sample mean of the weights of the students. denoted as EA and f3 respectively. Approximate the probability that 3.; is larger than .323. but by at most 5 kg