You may need to use the appropriate appendix table or technology to answer this question The increasing annual cost including tuition room board books and fees to attend college has been widely discussed Time com The following random samples show the annual cost of attending private and public colleges Data are in thousands of dollars A 14 Private Colleges 53 8 44 2 44 0 33 3 45 0 29 6 46 8 37 8 49 5 41 0 Public Colleges 20 3 22 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 decimal places sample mean thousand sample standard deviation thousand 22 0 28 2 15 6 24 1 28 5 25 8 18 5 25 6 14 4 21 8 Compute the sample mean in thousand dollars and sample standard deviation in thousand dollars for public colleges Round the standard deviation to two decimal places sample mean thousand sample standard deviation thousand thousand b What is the point estimate in thousand dollars of the difference between the two population means Use Private Public 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 more than the mean annual cost to attend public college c Develop a 95 confidence interval in thousand dollars of the difference between the mean annual cost of attending private and public colleges Use Private Public Round your answers to one decimal place thousand to