SOLUTION: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed, with a mean of 62 and a standard deviation of 8. If the on

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Question 380419: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed, with a mean of 62 and a standard deviation of 8. If the only top 15% of recruits are selected, find the cut off score.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z score that has a probability of 0.85.
P%28z%29=0.85
Using EXCEL NORMSINV function,
z=1.036433
z=%28x-mu%29%2Fsigma
%28x-62%29%2F8%3E1.036433
x-62%3E8.29
highlight%28x%3E70.29%29