A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 1 265 229 2 23456 240 231 258 227 295 240 251 238 225 226 Using this data, we wish to test the following hypothesis using a level of significance of 0.1, where ui denotes the mean blood cholesterol level before the program, and uz denotes the mean blood cholesterol level after the program. Ho: 1 2 = 0 - H1: [1 {z > 0 Answer questions a through d assuming that you have chosen to use a paired t-test. Part a (5 points): State any assumptions that are required to perform this test and modify the hypothesis by D = -2 Part b (5 points): Identify the test statistic and p-value. Part c (5 points): State the conclusion resulting from the test. Part d (5 points): Construct a confidence bound that is relevant to this problem. Show that this confidence bound verifies your conclusion from part c.