Question

A civil service exam yields scores which are normally distributed with a mean of 81 and a standard deviation of 5.5. If the civil service wishes to set a cut-off score on the exam so that 15% of the test takers fail the exam, what should the cut-off score be? Remember to round your z-value to 2 decimal places. Select one: A. 75.28 B. 86.72 C. 60.24 D. 64.56 E. None of the above

Answer 1

Z=-1.04......................by using Z table or by using Excel command =NORMSINV(0.15)

X = Zσ +μ

=(-1.04)*5.5 + 81

=75.28