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 onl

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Question 298959: 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 only the top 15% of recruits are selected, find the cutoff score.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 only the top 15% of recruits are selected, find the cutoff score.
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Find the z-value that has a right tail of 15%.
That would be invNorm(0.85) = 1.0364
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Find the corresponding raw score using x = zs+u
x = 1.0364*8+62
x = 70.29
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Cheers,
Stan H.
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