In the last 4 years a total of 55 Gossett High School students were admitted to nearby Chapel Hillside University. Of those students, 16 were offered athletic scholarships. The Gossett High's guidance counselor looked at their composite ACT scores (summary shown in the table), wondering if Chapel Hillside U. might admit people with lower scores if they also were athletes.

Athletes	Non-athletes
n1=16	n2=39
x1=21.86	x2=24.75
s1=3.29	s2=2.84

Let be the unknown mean ACT score of all athletes admitted to Chapel Hillside University and let u2 be the unknown mean ACT score of all non-athletes admitted to Chapel Hillside University. Calculate a 95% confidence for (use 15 for the degrees of freedom.)