The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in.
Question:
The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in. and a standard deviation of 2.8 in.
a. What doorway height would allow 95% of men to enter the aircraft without bending?
b. Assume that half of the 200 passengers are men. What doorway height satisfies the condition that there is a 0.95 probability that this height is greater than the mean height of 100 men?
c. When designing the Boeing 757-200 ER airliner, which result is more relevant: The height from part (a) or the height from part (b)? Why?
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a The doorway height 72 28690 7125 in b The mean height of 100 men 694 in The height from part a ...View the full answer
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