The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of one typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family′s income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges
52.8 43.2 45.0 33.3 44.0
30.6 45.8 37.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8

Required:
Develop a 95% confidence interval of the difference between the annual cost of attending private and public colleges.