(8 points) A random sample of students is selected from a local college, and their commute times from home to school (in minutes) are recorded and shown below. 5567781010101111121315202933 Suppose that we want to test whether the median commute time is longer than 6 minutes with the signed rank test. Part A Calculate the rank of data: 1. Enter all the ranks from the smallest to largest and 2. The ranks are separated by commas. 3. For example, data = {3, 12, 20, 22} => Rank = {1, 2, 3, 4}. So, you enter 1,2,3,4 in the textbox. Rank = Part B Calculate the following statistics: W+ W_ E[W+] assuming H0 is true Part C At the 5% significance level, what can you conclude? Since the test statistic is larger v than the critical value, :] , we reject Ho v There is sufficient evidence v to conclude that the median commute time from home to work of all students is longer than 6 minutes. (6 points) A random sample of students is selected from a local college, and their commute times from home to school (in minutes) are recorded and shown below. 555667777888991010101111111212121314151617 Suppose that we want to test whether the median commute time is longer than 8.1 minutes with the signed rank test. Part A Calculate the rank of data: 1. Enter all the ranks from the smallest to largest and 2. The ranks are separated by commas. 3. For example, data = {3, 12, 20, 22} => Rank = {1, 2, 3, 4}. So, you enter 1,2,3,4 in the textbox. Rank = Part B Calculate the following statistics: W+ W_ E[W+] assuming H0 is true SD[W+] (Round the SD to 8 decimal places) Part C Approximate the p-value using a normal distribution by completing the following: 1. Obtain the z-score (Round the z-score to 4 decimal places) 2. Obtain the p-value (Round the p-value to 4 decimal places)