SOLUTION: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 56 and a standard deviated of 6. If only th

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Question 417764: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 56 and a standard deviated of 6. If only the top 9% 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 56 and a standard deviated of 6. If only the top 9% of recruits are selected, find the cutoff score.
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Find the z-value with a right tail of 9%.
z = inverNorm(0.91) = 1.3410
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Find the corresponding x-value using
x = zs+u
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x = 1.3410*6+56
x = 64.04...
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Cheers,
Stan H.