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?
Solution:
P(Z > 0.67) ≈ 0.25
{{{(x-(mu))/(sigma)}}} = 0.67
{{{(x-70)/5}}} = 0.67
x = 0.67*5 + 70 = {{{highlight(73.4)}}} [1 decimal place]
73.4 is the 75th percentile point.