To qualify for security officers training, recruits are tested for stress tolera

Question

To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 72 and a standard deviation of 18. If only the top 10 % of recruits are selected, find the cut-off score. What is the percentile rank of that score? To qualify for security officers training, recruits are tested for stress tolerance. The scores are normally distributed with a mean of 72 and a standard deviation of 18. If only the top 10 % of recruits are selected, find the cut-off score. What is the percentile rank of that score?

Explanation / Answer

z score corresponding to top 10% area = 1.28

Hence,

Cutoff score = 72 + 1.28(18) = 95.04

Percentile rank of this score = 100 - 10 = 90th percentile

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