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.
- What mean doorway height would allow 95 percent of men to enter the aircraft without bending?
- 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?
- 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, exercise 12