Question

In: Statistics and Probability

1.         Below are the scores of employees hired 6 months ago for their performance on a...

1.         Below are the scores of employees hired 6 months ago for their performance on a cognitive ability test and job performance over the last 6 months. Calculate the Pearson's correlation coefficient (bivariate correlation) in an excel spread sheet. Assess the validity coefficient to see if the cognitive ability test they used is valuable for predicting job performance…discuss why the test is or isn't valuable to be used for selection.

Cognitive Ability

Job Performance

41

109

32

112

53

121

36

119

30

112

65

120

70

120

64

109

59

120

38

109

2.         Two applicants take a selection test with a mean of 70, a standard deviation of 8, and a standard error of measurement of 9.75. Applicant A scores a 90 on the test while Applicant B scores a 95. What is the standardized score for Applicant A? How do you interpret this number?

3.         What is the standardized score for Applicant B? How do you interpret this number?

4.         What is the standardized score for an applicant scoring 65 on the test? How do you interpret this score?

5.         A job applicant scores 1.42 standard deviations above the mean on a test that has a mean of 25 and a standard deviation of 1.50. What is the job applicant’s raw score?


6.         Baldridge runs a simple regression using the scores on the cognitive ability test as a predictor of their current employees’ job performance. They find that the best fitting equation is:

ŷ = -2.368 + .079 (Cognitive Ability)


Calculate the predicted performance for each of the following job applicants, and determine who would have the highest performance score:

Applicant

Cognitive Ability

Jerry Singer

79

Omar Windy

93

Jared River

52

Sammy Jenny Raul

84

Eleanor D. Generous

80

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