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Question: Anaheim Human Resources, Inc., performs employment screenings for large companies in southern California. It usually follows a two-step process. First, potential applicants are given a test that covers basic knowledge and intelligence. If applicants score between a certain range, they are called in for a interview. If they score below a certain point, they are sent a rejection letter. If applicants score above a certain point, they are sent directly to client's human resources office without the interview. Recently, Anaheim Human Resources began working with a new client and formulated a new test just for this company. Thirty people were given the test, which is supposed to produce scores that are distributed according to a bell-shaped distribution. The following data reflect the scores of those 30 people:
76 75 74 56 61 7662 96 68 62 78 7684 67 60 96 77 5967 81 66 71 69 6558 77 82 75 76 67
Anaheim Human Resources has in the past issued a rejection letter with no interview to the lower 16% taking the test. They also send the upper 2.5% directly to the company without an interview. Based on the data the assumption of a bell-shaped distribution, what score should be used for the two cutoffs?
Calculate the expected value and standard deviation of the value.
using the approximations for normal curves what percentage of scores fall between the mean and one standard deviation
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