Question

an airliner carnes 200 passengers and has doors with a height of 75 in. heights of men are normally distributed mean of 69.0 in and a standard deviation of 2.8 in. complete parts (a) through (d).

c. the probability from part (b) is more relevant because it shows the proportion of male passengers that need to bend.

d. the probability from part (b) is more relevant because it shows the proportion of flights where the mean of the male passengers will be less than the door height.

d. when considering the comfort and safety of passengers, why are women ignored in this case?

a. there is no adequate reason to ignore women. a separate statistical analysis should be carried out for the case of women.

b. since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. therefore, it is more important that men not have to bend than it is important that women not have to bend.

c. since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

Explanation:

Since men are generally taller than women, if a design (door height) accommodates a suitable proportion of men (taller group), it will by default accommodate a greater proportion of women (shorter group). This is a common principle in design - focusing on the taller subgroup (men in this case) to ensure overall inclusivity as the shorter subgroup (women) will be covered.

Answer:

C. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.