A beet farmer owns two plots of land that are equal in area but with different soil conditions. The farmer wants to compare the average annual crop yields from the two plots.. The farmer selects a random sample of n-8 years and gathers data for these years on the first plot's yield. He also selects a random sample of ng- 5 years and gathers data for these years on the second plot's yield. Then he computes the mean yield for each sample. Suppose that the annual crop yield from the first plot is normally distributed with 15,750. second plot is normally distributed with p2 1,181 and of 1,231 and of 22,500, and that the annual crop yield from the The difference between the two sample means follows a to distribution with a mean of and standard deviation equal