## Question 1041:

Let x̄1 represent the mean of a random sample of size n1, selected from the populationx 2 3 7

F(x) 1/3 1/3 1/3

and x̄2 represent the mean of a random sample of size n2 from the population

x 1 3

F(x) 2/3 1/3

if independent samples of size n1 = 125 and n2 =100 are drawn with replacement, what is the probability that the difference between x̄1 and x̄2 will be greater than 1.84 but less than 2.627