Question

# A data processing company has a training program for new salespeople. After completing the training program,...

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 10 1 3 2 4

 Person 7 8 9 10 11 x rank 7 9 10 1 6 y rank 8 11 9 6 5

A 7% level of significance is used test the claim that the relation between x and y is monotone (either increasing or decreasing). State the conclusion of the test and interpret your results with a 7% level of significance.

 a. Since the P-value is greater than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis. b. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis. c. Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis. d. Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis. e. Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

Option E is correct

Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.

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