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 72 and standard deviation 8.5. a. A particular employer requires job candidates to score at least 76 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 76​? b. The testing service reported to a particular employer that one of its job​ candidate's scores fell at the 98th percentile of the distribution​ (i.e., approximately 98​% of the scores were lower than the​ candidate's, and only 2​% were​ higher). What was the​ candidate's score? a.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
72
and standard deviation
8.5.
a. A particular employer requires job candidates to score at least
76
on the dexterity test. Approximately what percentage of the test scores during the past year exceeded
76​?
b. The testing service reported to a particular employer that one of its job​ candidate's scores fell at the
98th
percentile of the distribution​ (i.e., approximately
98​%
of the scores were lower than the​ candidate's, and only
2​%
were​ higher). What was the​ candidate's score?
a. 
 
 
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