10.142 [EX10-142] An achievement test in a beginning computer science course was administered to two groups. One group had a previous computer science course in high school; the other group did not. The test results follow. Assuming test scores are normal, construct a 98% confidence interval for the difference between the two population means.

Group 1 (had high school course) 17 18 27 19 24 36 27 26 35 22 18 29 29 26 33 Group 2 (no high school course) 19 25 28 27 21 24 18 14 28 21 22 20 21 14 29 28 25 17 20 28 31 27