If adult male heights are normally distributed with a mean of 180 cm and a standard deviation of 7 cm, how high should an aircraft lavatory door be to ensure that 99.9 percent of adult males will not have to stoop as they enter?
A)195.7 cm
B)201.6 cm
C)207.3 cm
D)201.4 cm

Question

Quizplus · Accepted Answer

To ensure that 99.9% of adult males do not have to stoop, we need to find the height corresponding to the 99.9th percentile of the normal distribution. Using the z-score for 99.9%, which is approximately 3.09, we calculate: 180 cm + (3.09 * 7 cm) = 201.63 cm, which rounds to 201.6 cm.

If Adult Male Heights Are Normally Distributed with a Mean