## Elementary Statistics (12th Edition)

a) $0.01$ % b) $0.01$ % c) No d) $70.1$ inches
a) We find the $z$-score: $\frac{51.6−69.5}{2.4}=-7.46$ This is less than $−3.5$, so only about $0.01$ % percent of men fit. b) We find the $z$-score: $\frac{51.6−63.8}{2.4}=-4.69$ This is less than $−3.5$, so only about $0.01$ % percent of women fit. c) It does not, because most of the passengers cannot enter the aircraft without bending. d) We know that the $z$-score is $0.25$. Hence: $=(0.25)(2.4)+69.5=70.1$ inches