Question

y for a police academy, candidates must score in the top 18% on a general es test. Assume test scores are normally distributed with a mean of 210 anda 3. To qualif abiliti standard deviation of 15. Find the lowest possible score to qualify. Draw the curve and shade the region. 5 210

Answer 1

Z-score of top 18% is $\small Z=0.915$

Given $\small \mu =210$ and $\small \sigma =15$

Let the qualifying lowest score be X

$\small X=\mu +Z\sigma =210+0.915\times 15=223.725\approx 224$

165 180 195 210 225 240 255