16. Aircraft Cockpit The overhead panel in an aireral cockpit sypicaly includes controls for such features as landing lights, fuel booster pumps, and oxygen. It is man a at. be able to reach those overhead controls while siting. Sealed adult males have orehead gip Teaches that are normally distributed with a mean of 51.6 in and a standard deratonet it. a. If an airoraft is designed for pilots with an overhead grip reach of 53 in, what percenage of adult males would not be able to reach the overhead controls? Is that percentage too high? b. If the cockpit is designed so that 95% of adult males would be able to reach the oveshend controls, what is the overhead grip reach distance? c. A small regional airline employs 40 male pilots. An engineer wanks to design for an overhead gip reach that satisfies this criterion: There is a 095 probability thar40 randomly selected male plo have a mean overhead grip reach that is greater than or equal to the designed overhead reach dis-fance. What overhead grip reach distance satisfies that design? Why should this engineer be fired