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

7575

and standard deviation

8.58.5.

a. A particular employer requires job candidates to score at least

7979

on the dexterity test. Approximately what percentage of the test scores during the past year exceeded

7979??

b. The testing service reported to a particular employer that one of its job? candidate's scores fell at the

9595th

percentile of the distribution? (i.e., approximately

9595?%

of the scores were lower than the? candidate's, and only

55?%

were? higher). What was the? candidate's score?

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Click here to view a table of areas under the standardized normal curve.

a. Approximately __%of the test scores during the past year exceeded 7979.

?(Round to one decimal place as? needed.)

Answer 1

Here we have = 75, = 8.5

a) At least 79

p ( x 79 )

= p ( z 0.47 )

= 1- p ( z < 0.47 )

= 1- 0.6808

= 0.3192

Approximately 31.9_%of the test scores during the past year exceeded 79.

b. 95th percentile

p ( Z < z ) = 0.95

x = 88.98

The? candidate's score was 88.98.