Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 70 and 4, respectively, and the distribution of scores is bell shaped. What percentage of test-takers scored better than a trainee who scored 58?
A) approximately 95%
B) approximately 97.5%
C) approximately 99.85%
D) approximately 84%

Question

Quizplus · Accepted Answer

A score of 58 is 3 standard deviations below the mean (70 - 3*4 = 58). In a normal distribution, about 99.85% of the data falls within 3 standard deviations from the mean, so approximately 0.15% scored lower, meaning about 99.85% scored higher.

Many Firms Use On-The-Job Training to Teach Their Employees New