Us airforce requires pilots to have heights between 64 in. and 77 in.
Men: mean: 69.5 inches. standard deviation 2.4 inches.
Women: mean: 63.8 inches. Standard deviation 2.6 inches.
I found that 47.2 percent of women meet the height requirement. While 98.81 percent of men meet the height requirement.
How do I answer the last part: If the Air Force height requirements are changed to exclude only the tallest 3 percent of men and the shortest percent of women, what are the new height requirements?
So I know doing this, will change the mean, and standard deviation, but I cannot grasp how to calculate this ;o. I am thinking, would i just deduct 3 percent from both original requirements, then I get 95.51 percent for men meeting the requirement, and 44.2 for women.
Then once I got that, I can find the according area that matches with the results, to get the z score of each data, then after that, I can calculate the mean.? What do you guys think.