24. For this problem, let’s suppose that you are a psychologist employed in the human resources department of a large corporation. The corporation president has just fi nished talking with you about the importance of hiring productive personnel in the manufacturing section of the corporation and has asked you to help improve the corporation’s ability to do so. There are 300 employees in this section, with each employee making the same item. Until now, the corporation has been depending solely on interviews for selecting these employees. You search the literature and discover two well-standardized paper & pencil performance tests that you think might be related to the performance requirements of this section. To determine whether either might be used as a screening device, you select 10 representative employees from the manufacturing section, making sure that a wide range of performance is represented in the sample, and administer the two tests to each employee. The data are shown in the table. The higher the score, the better the performance. The work performance scores are the actual number of items completed by each employee per week, averaged over the past 6 months.

a. Construct a scatter plot of work performance and test 1, using test 1 as the X variable. Does the relationship look linear?

b. Assuming it is linear, compute the value of Pearson r.

c. Construct a scatter plot of work performance and test 2, using test 2 as the X variable. Is the relationship linear?

d. Assuming it is linear, compute the value of Pearson r.

e. If you could use only one of the two tests for screening prospective employees, would you use either test? If yes, which one? Explain. I/O

Employee 1 2 3 4 5 6 7 8 9 10 Work performance 50 74 62 90 Test 1 10 19 20 Test 2 25 35 89 20 40 49 &&& 98 52 68 80 88 76 21 14 10 24 16 14 50 29 32 44 46 35