Private Colleges Public Colleges 52.8 42.2 45.0 33.3 45.0 20.3 22.0 28.2 15.6 24.1 28.5 31.6 45.8 36.8 50.5 43.0 22.8 25.8 18.5 25.6 14.4 21.8 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decim places.) sample mean $ 42.6 thousand sample standard deviation $ 6.909 thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decima places.) sample mean $ 22.3 thousand sample standard deviation $ 4.532 thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public.) $ 20,3 thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges. We estimate that the mean annual cost to attend private colleges is $ 20.3 x more than the mean annual cost to attend public college