Past experience of a large manufacturing firm with administe

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 plancing 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 above

Solution

0.06   ---------- Z=1.55

1.55 = (x-500) / 50

x= 577.5

x= 578