Answer all questions with explanation

The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Thor comm) The following random samples afew top annual cost of attending private and public colleges, Data are in thousands of dollars. Private Colleges Public Colleges 53.8 44.2 46:0 33.3 43.0 2013 22.0 28.2 15.6 24.1 30.6 46.8 36.8 51.5 41.0 22.8 25 8 10.5 25.6 14.4 21.8 (a) Compute the sample mean (In thousand dollars) and sample standard deviation (is thousand dollars) for private colleges (Round the standard deviation to two decimal places. ) sample mean 42 80 X thousand sample standard deviation $ 6.92 * thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars] for public colleges: (Round the standard deviation to two deomal places.} sample mean 5 22 30 thousand sample standard deviation $ 4.83 thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public) $ 20.5 I x thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges. IFmore than the mean annual cost to attend public college We estimate that the mean annual cost to offend private colleges is $ 20.5: (c) Develop a 95% confidence interval (in thousand dollars) of the difference between the myan annual oust off attending onvate and public colleges. (Use Proce - Public Round your answers to one decimal place.) thousand $ 15.5 x thousand to $ 25.5