SOLUTION: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 70 and a standard deviation of 5. If only th

Question 973097: To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 70 and a standard deviation of 5. If only the top 25% of recruits are selected, find the cut-off score. What is the percentile rank of that sore? ( 10 points)

Answer by reviewermath(1029) (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 70 and a standard deviation of 5. If only the top 25% of recruits are selected, find the cut-off score. What is the percentile rank of that sore?
Solution:
P(Z > 0.67) ≈ 0.25
= 0.67
= 0.67
x = 0.67*5 + 70 = [1 decimal place]
73.4 is the 75th percentile point.
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