Suppose that X1, X2, ..., Xn and Y1, Y2,., Yn are independent random samples from populations with means µ1 and M2 and variances of and o, respectively. Show that the distribution of the random...

Extracted text: Suppose that X1, X2, ..., Xn and Y1, Y2,., Yn are independent random samples from populations with means µ1 and M2 and variances of and o, respectively. Show that the distribution of the random variable (X – Ỹ) – (41 – 2) Un V(o +o3)/n converges to a standard normal distribution as n → o.