Personnel tests are designed to test a job applicant\'s cognitive and/or physica
ID: 3072350 • Letter: P
Question
Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 74 and standard deviation 7.7. a. A particular employer requires job candidates to score at least 79 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 79? b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 90th percentile of the distribution (i.e., approximately 90% of the scores were lower than the candidate's, and only 10% were higher). What was the candidate's score?
Explanation / Answer
Answer:
Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 74 and standard deviation 7.7.
a. A particular employer requires job candidates to score at least 79 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 79?
Z value for 79, z =(79-74)/7.7 = 0.65
P( x >79) = P( z > 0.65) =0.2578
The required percentage = 25.78%
b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 90th percentile of the distribution (i.e., approximately 90% of the scores were lower than the candidate's, and only 10% were higher). What was the candidate's score?
Z value for top 10% is 1.282
X= mean+z*sd = 74+1.282*7.7 = 83.8714
candidate's score was 83.87
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