Independent random samples of sizes n1 30 and n2 50 are taken from two normal populations having the means 1 78 and 2 75 and the variances 21 150 and 22 200 Use the results of Exercise 8 3 to find the probability that the mean of the first sample will exceed that of the second sample by at least 4 ...

Independent random samples of sizes n1 = 30 and n2 = 50 are taken from two normal

Question:

Independent random samples of sizes n1 = 30 and n2 = 50 are taken from two normal populations having the means µ1 = 78 and µ2 = 75 and the variances σ21 = 150 and σ22 = 200. Use the results of Exercise 8.3 to find the probability that the mean of the first sample will exceed that of the second sample by at least 4.8.