Question

A survey found that​ women's heights are normally distributed with mean 63.9 in. and standard deviation 3.6 in. The survey also found that​ men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts​ (a) through​ (c) below. a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is 0.02​%. ​(Round to two decimal places as​ needed.) b. Does the door design with a height of 55.9 in. appear to be​ adequate? Why​ didn't the engineers design a larger​ door?

Answer 1

Answer:

Idk someone answer

Step-by-step explanation:

Answer 2

Answer:

a: 0.1%

b. No it does not

c.  Probably for safety reasons

Step-by-step explanation:

for women: z = (55.9 - 63.9)/3.6 = -2.22

The p-value for z = -2.22 is 0.0132, so only 1.32% of women could walk through without bending

for men: z = (55.9 - 69.7)/3.6 = -3.83

The p-value for z = -3.83 is 0.001, so only 0.1% of men could walk through without bending