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 7 8 9 10 11 x rank 3 1 4 10 8 2 9 7 5 6 11 y rank 2 4 3 6 7 1 5 9 10 8 11 Using a 0.05 level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). (a) What is the level of significance? (b) Compute the sample test statistic. (Use 3 decimal places.)
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 7 8 9 10 11 x rank 3 1 4 10 8 2 9 7 5 6 11 y rank 2 4 3 6 7 1 5 9 10 8 11 Using a 0.05 level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). (a) What is the level of significance? (b) Compute the sample test statistic. (Use 3 decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 9SGR
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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 | 7 | 8 | 9 | 10 | 11 |
| x rank | 3 | 1 | 4 | 10 | 8 | 2 | 9 | 7 | 5 | 6 | 11 |
| y rank | 2 | 4 | 3 | 6 | 7 | 1 | 5 | 9 | 10 | 8 | 11 |
Using a 0.05 level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing).
(a) What is the level of significance?
(b) Compute the sample test statistic. (Use 3 decimal places.)
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