39. Homer performs three simulation studies. His population is skewed to the right. For one study he has his computer generate 10,000 random samples of size n = 10 from the population. For each random sample, the computer calcu- lates the Gosset 95% confidence interval for u and checks to see whether the interval is cor- rect. His second study is like his first, but n = 100. Finally, his third study is like the first, but n = 200. In one of his studies, Homer ob- tains 2,504 correct intervals; in another he ob- tains 9,478 correct intervals; and in the remain- ing study he obtains 8,688 correct intervals. Based on what we learned in class, match each sample size to its number of correct intervals. Explain your answer.