A survey found that women heights are normaly distributed wi

A survey found that women heights are normaly distributed with mean 63.4in and standard devitation 2.5in. A ranch of the military requires womens heights to be between 58in and 80in.

A) Find the percentage of women meeting the height reuirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?

B) If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and teh tallest 2% what are th new height requirements?

Solution

The percentage of women who meet the height requirements is 98.46 (round to 2 decimal places)
Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
(Yes or No) why? Because women being denied are 1.54% (a small %)

B) For the new height requirements, this branch of the military requires women\'s height to be at least 57.6 In and at most 68.5 In. (round to 1 decimal place)