In: Statistics and Probability
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 |