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 7.4 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 98th percentile of the distribution​ (i.e., approximately 98​% of the scores were lower than the​ candidate's, and only 22​%were​ higher). What was the​ candidate's score?

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 7.4
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 98th percentile of the distribution​ (i.e., approximately 98​% of the scores were lower than the​ candidate's, and only 22​%
were​ higher). What was the​ candidate's score?

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