Round 4 decimal places

Education researchers at UVA are interested in looking at how sleeping habits of students may differ between students in different colleges at UVA. Two random samples of upper classmen in Darden and the College of the Arts & Sciences are taken and each student is asked how many hours they sleep, on average, per day during the semester. Below is the calculated summary statistics from the data. Sample size Mean (x) Standard (n) Deviation (s) Darden 83 9.85 2.95 College of A & S 90 7.15 1.75 Q2.1 1 A 5 Points Construct a conservative 95% confidence interval for the difference in average hours of sleep between UVA Darden students and UVA College of Arts & Sciences students. Interpret this confidence interval in context. Report: (1) the critical value (z* or t*), (2) the 95% confidence interval, and (3) the confidence interval interpretation (in context)