When women were allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been designed for men only. The ACES-II ejection seats were designed for men weighing between 140 pounds and 211 pounds. The population of women has normally distributed weights with a mean of 143 pounds and a standard deviation of 29 pounds (based on data from the National Health Survey).
a. What percentage of women have weights between 140 pounds and 211 pounds?
b. If 36 women are randomly selected, how likely is it that their mean weight is between 140 pounds and 211 pounds?
c. For redesigning the fighter jet ejection seats to better accommodate women, which probability is more relevant: the result in part a or the result in part b? Why?