A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information.
Today (Population 1) Five Years Ago (Population 2)
Sample Mean 83 88
Sample Variance 112.5 54
Sample Size 45 36
The 92.50% confidence interval for the difference between the two population means is (Round your answers to 2 decimal places.)