Studies show that smaller class sizes have a direct impact on student success. Researchers selected a random sample of 53 elementary school classrooms across the United States and found that the mean class size was 23.9 students with a standard deviation of 1.4 students. They also selected a random sample of 60 high school classrooms across the United States and found that the mean class size was 22.6 with a standard deviation of 1.4 students. (a) Construct a 95% confidence interval to estimate the difference between the mean elementary class size and the mean high school class size. The confidence interval is + or ( ). (b) Choose the correct interpretation: Based on the confidence interval, it looks like the mean class size for high school classrooms is greater than the mean class size for elementary school classrooms Based on the confidence interval, it looks like the mean class size for elementary classrooms is greater than the mean class size for high school classrooms Based on the confidence interval, it is possible that there is no difference between class sizes