Personnel tests are designed to test a job applicant\'s cognitive and/or physica
ID: 3049172 • 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 80 and standard deviation 7.5.
a. A particular employer requires job candidates to score at least 86 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 86?
b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 95th percentile of the distribution (i.e., approximately 95% of the scores were lower than the candidate's, and only 55% were higher). What was the candidate's score?
a. Approximately ?% of the test scores during the past year exceeded 86.
b. The candidate's score was ?
Explanation / Answer
a)
percentage of the test scores during the past year exceeded 86 :
=21.19%
b)
for 95th percentile ; z score =1.64
therefore corresponding score =mean+z*std deviation =80+1.6449*7.5 =92.30
( please revert fir any clarification required)
for normal distribution z score =(X-)/ here mean= = 80.000 std deviation == 7.5Related Questions
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