The heights of all adult males in Croatia are approximately normally distributed with a mean of 180 cm and a standard deviation

Question

3 years ago

7

of 7 cm. How tall must an adult male in Croatia be in order to be the tallest 5% of the males

1 answer:

pantera1 [17] · Answer 1 · 2022-02-11T02:05:43+03:00

7 0

In standard normal distribution, the cutoff for the 95th percentile is about $z\approx1.64$ . So the cutoff height would be $x$ such that

$\dfrac{x-180}7=1.64\implies x\approx191.48$

cm.