This Question: 1 pt 170120 (18 complete) This Quiz: 20 pts possible Question Hel

Question

This Question: 1 pt 170120 (18 complete) This Quiz: 20 pts possible Question Help * A survey found that women's heights are normally distributed with mean 62.9 in. and standard deviation 3.9 in. The survey also found that men's heights are normally distributed with mean 68.9 in. and standard deviation 3.3 in. Consider an executive jet that seats six with a doorway height of 56.6 in. Complete parts (a) through (o) below aWhat percentage of adult men can fit through the door without bending? The percentage of men who can fit without bending is (Round to two decimal places as needed.) b. Does the door design with a height of 56.6 in. appear to be adequate? Why didn't the engineers design a larger door? bocause the jet a relatively small and seats only sik people, a much higher door would require major changes in the design n will not bo able to fit without bending, most women will be able to fit without bending. Thus, a larger and cost of the jet, making a larger height not practical. door design is adequate, because although many men door is not needed C The door design is inadequate, because every person needs be able to get into the anera without bending. The e il ma menon why this should not be O D. The door design is adequate, because the majority of people will be able to fe without bending. Thus, a larger door is not needed. Click to select your answer(s).

Explanation / Answer

a) P(X<65.6)

= P(Z<(65.6-68.9)/3.3)

= P(Z<-1)

= 15.87%

b) Option B is Correct

Option B is Correct

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