Past experience of a large manufacturing firm with administering a test to recent college graduates who had applied for a job revealed that the mean test score was 500, and the standard deviation was 50. The distribution of the test scores was normal. Based on this experience, management is considering placing a person whose score is in the upper 6 percent of the distribution directly into a responsible position. What is the lowest score a college graduate must earn to qualify for a responsible position?
A) 50
B) 625
C) 460
D) 578
E) None of the choices are correct

Question

Quizplus · Accepted Answer

To find the lowest score in the upper 6 percent, we need to find the z-score that corresponds to the 94th percentile (100% - 6% = 94%). The z-score for the 94th percentile is approximately 1.555. Using the formula: score = mean + (z-score * standard deviation), we get: score = 500 + (1.555 * 50) = 577.75. Rounding up, the lowest score is approximately 578.

Past Experience of a Large Manufacturing Firm with Administering a Test