Many firms use on-the-job training to teach their employees new software. Suppose you work in the personneldepartment of a firm that just finished training a group of its employees in new software, and you have beenrequested to review the performance of one of the trainees on the final test that was given to all trainees. Themean and standard deviation of the test scores are 80 and 3, respectively, and the distribution of scores is bellshaped. What percentage of test-takers scored better than a trainee who scored 71?
A) approximately 99.85%
B) approximately 84%
C) approximately 95%
D) approximately 97.5%

Question

Quizplus · Accepted Answer

Given the distribution is bell-shaped (normal distribution) and the standard deviation is 3, a score of 71 is 3 standard deviations below the mean (80 - 71 = 9; 9/3 = 3). In a normal distribution, about 99.85% of the data lies within three standard deviations above the mean, meaning approximately 99.85% scored better than a score of 71.

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