Question

The following data represents the points earned on a Leadership Evaluation for a population of N...

The following data represents the points earned on a Leadership Evaluation for a population of N = 30 applicants for a Manager position at Winco (mean = 5.033; standard deviation = 2.152). The Leadership Evaluation was scored on a scale from 0 (no idea how to be an effective leader) to 10 (knows how to be a very effective leader).

Leadership Test

0 1 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 9 9

The Hiring Manager only wants to consider applicants who have a z score at or above +1 on the Leadership Evaluation.

What is the z-score for someone who scored 7 on the Leadership Evaluation? Would they be considered for hire?

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Answer #1

Sol:

z score=

z=score-mean/standard deviation

z=7-5.033/2.152

z=1.967/2.152

z= 0.9140335

z-score for someone who scored 7 on the Leadership Evaluation is 0.9140335

They would not considered for hire as z score is less than 1.

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