Personnel tests are designed to test a jobapplicant's cognitiveand/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 77 and standard deviation 7.9.
a. A particular employer requires job candidates to score at least 81 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 81?
b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 90th percentile of the distribution (i.e., approximately 90% of the scores were lower than the candidate's, and only 10%were higher). What was the candidate's score?