16. Aircraft Cockpit The overhead panel in an aircraft cockpit typically includes controls for such features as landing lights, fuel booster pumps, and oxygen. It is important for pilots d be able to reach those overhead controls while siting. Seated adult males have ovethead grip reaches that are normally distributed with a mean of S1.6 in and a standard deviation of 2.21D.

1. If an aircraft is designed for pilots with an overhead grip reach of 53 in, what percentage of adult males would not be able to reach the overhead controls? Is that percentage 100 Gigi,
2. If the cockpit is designed so that 95% of adult males would be able to reach the overhead controls, what is the overhead grip reach distance?
3. A small regional airline employs 40 male pilots. An engincer wants to design for an overhead grip reach that satisfies this criterion: There is a 0.95 probability that 40 randomly selected male pilots have a mean overhead grip reach that is greater than or equal to the designed overhead reach dis-tance. What overhead grip reach distance satisfies that design? Why should this engineer be fired?