Men height mean of 695 in and standard deviation of 24 Women

Men height mean of 69.5 in and standard deviation of 2.4 Women height mean of 63.8 in and standard deviation of 2.6 Question The Gulfstream 100 is an executive jet that seats six, and it has a doorway height of 51.6 in a) What percentage of adults men can fit through the door without bending? b) What percentage of adults woken can fit through the door without bending? c) Does the door design with a height of 51.6 in appear to be adequate? Why didn\'t the engineers design a larger door? d) What door way height allow 60% of men to fit without bending?

Solution

((69 - 51.6) / 2.8) = 6.214286 standard deviations below the mean. You will almost certainly never find a table that extends that far, but if you did the number would be miniscule. I\'m guessing here - 0.00000001

60% corresponds to a z-score of 0.2553.

.2553 * 2.8 = 0.7148

The height would have to be 69.7148 inches high.