8. Sampling distribution of the difference between two means 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 n1 = 7 years and gathers data for these years on the first plot's yield. He also selects a random sample of n2 = 8 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 1 = 2,398 and 21 = 20,971, and that the annual crop yield from the second plot is normally distributed with 2 = 2,301 and 22 = 14,680. The difference between the two sample means follows a distribution with a mean of and standard deviation equal to . Use the Distributions tool to help answer the question that follows. What is the probability that the sample mean yield for the first plot exceeds the sample mean yield for the second plot by at least 250 beets? 0.8512 0.0051 0.1935 0.0139