As part of a course project, a statistics student surveyed random samples of 50 student athletes and 50 student non-athletes at his university, with the goal of comparing the heights of the two groups. His summary statistics are displayed in the provided table. n S Athletes 50 68.96 4.25 Non-athletes 50 67.28 3.46 Construct a 99% confidence interval for the difference in mean heights between student athletes and non-athletes at this university. Use two decimal places in your margin of error. -0.40 to 3.76 -0.32 to 3.68 -0.20 to 3.56 -0.16 to 3.20