Question

Hi, I need help in solving this problem. I don't understand how to set up and solve. I get stuck towards the end.

Assume that military aircraft use ejection seats designed for men weighing between 145.5 lb and 202 lb. If women's weights are normally distributed with a mean of 173.1 lb and a standard deviation of 42.1 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications? The percentage of women that have weights between those limits is (Round to two decimal places as needed.) %. Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All Check Answer

Answer 1

Mean, u=173.1 lb Standard deviation, 0 = 42.1 Mb Proportion of women that have between those limit is : P(145.5 < x < 202) = P( 145.6.–M < x <202-4) el 145.5-173.1,7/ 202–173.1 42.1 42.1 pl- = P(-0.655582 <Z < 0.686461). = P(Z<0.686461) – P(Z<-0.655582) = 0.753789-0.256047 = 0.497742 As percentages = 0.497742 * 100%. = 49.77421. ~ 49.774. The percentage of women that have weights between those limits is 149.77 %