Question: A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor.
A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales. Person 1 2 3 4 5 6 x rank 8 11 2 4 5 3 y rank 7 2 3 6 5 8 Person 7 8 9 10 11 x rank 7 9 10 1 6 y rank 9 11 10 1 4 Using a 10% level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). What is the level of significance ?
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