Using the Central Limit Theorem · Try It 4
According to data from an aerospace company, the 757 airliner carries 200 passengers and has doors with a mean height of 72 inches. Assume for a certain population of men we have a mean of 69 inches inches and a standard deviation of 2.8 inches.
(a) What mean doorway height would allow 95 percent of men to enter the aircraft without bending?
(b) Assume that half of the 200 passengers are men. What mean 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) For engineers designing the 757, which result is more relevant: the height from part (a) or part (b)? Why?
OpenStax, Statistics · §7.3 Using the Central Limit Theorem · Try It 4
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