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 7.3 a. A particular employer requires job candidates to score at least 79 on the dexterity test. Approximately what percentage of the test scores duning the past year exceeded 79? b. The testing serice reported to a particular employer that one of its job candidate's scores fell at the 95th parcentile of the distribution (ie., approximately 95% of the scores were lower than the candidate's, and only 5% were higher). What was the candidate's score? A Click here to view a table of areas under the standardized normal curve

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 74 and standard deviation 7.3.
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 95th percentile of the distribution (i.e., approximately 95% of the scores were lower than the candidate's, and only 5% were higher). What was the candidate's score?
A Click here to view a table of areas under the standardized normal curve.
Transcribed Image Text: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 7.3. 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 95th percentile of the distribution (i.e., approximately 95% of the scores were lower than the candidate's, and only 5% were higher). What was the candidate's score? A Click here to view a table of areas under the standardized normal curve.
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