According to the provided details, for a certain population of men, the mean height of doors is inches and the standard deviation is inches.
If half of the passengers are men then the standard deviation will be . To compute the mean doorway height that allows of men to enter aircraft without bending, use the Ti-83 calculator. For this, click on , then DISTR, and then scroll down to the invnorm option and enter the provided details. After this, click on ENTER button of a calculator to have the desired result. The screenshot is given below:

Therefore, mean doorway height for the men's is inches.