Project #13691 - Statistics

 

1.      It was noted that engineers were redesigning fighter jet ejection seats to better accommodate women. Before women became fighter jet pilot, the ACES-II ejection seats were designed for men weighting between 140 lb and 211 lb. The population of women has normally distributed weights with a mean of 143 lb and a standard deviation of 29 lb. (based on data from National Health Survey).

A.  If 1 women is randomly selected, find the probability that her weight is between 140 lb and 211 lb. (8 pts)

 


B.  If the seat design aims to accommodate the women with the middle 95% of weights, what is the weight range for seat? (8 pts)

 

C.  If 36 different women are randomly selected, find the probability that their mean weight is between 140 lb and 211 lb. (9 pts)

 

D.  When redesigning the fighter jet ejection seats to better accommodate women, which probability is more relevant: the result from part (a) or the result from part (c). Why? (4 pts)

 

Subject Mathematics
Due By (Pacific Time) 10/01/2013 05:00 pm
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