4. The following data represent fitness scores from two groups of boys of the same age, those from homes in the town and those from farm homes. Farm Boys Town Boys 12.9 16 10.6 15.3 12.5 16.9 11.4 5.9...

Extracted text: 4. The following data represent fitness scores from two groups of boys of the same age, those from homes in the town and those from farm homes. Farm Boys Town Boys 12.9 16 10.6 15.3 12.5 16.9 11.4 5.9 6.3 14.8 9.1 10.6 7.9 5.6 (a) Perform the Mann-Whitney test to determine whether there is reason to believe that the two groups of boys have the different averages. Show the 5 steps. (b) As noted in my course notes, the textbook uses the sum of the ranks in one group as the test statistic. Confirm that this is the value of the test statistic reported by SAS. Copy and paste only the relevant output. (c) Under Ho, the true rank sum of the fitness scores of the farm boys is 37.5. Suppose the observed sum of the ranks of the fitness scores of the farm boys is 17. Find P[M < 17="" true="" rank="" sum="" is="">