Question

a survey found that womens heights are normally distributed with mean 63.8 in and standard deviation 2.3 in. a branch of the military requires womens heights to be between 58 a. find the percentage of women meeting the height requirement. are many women being denied the opportunity to join this branch of the military because they are too short or too b. if this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? click to view page 1 of the table. click to view page 2 of the table a. the percentage of women who meet the height requirement is 99.41% (round to two decimal places as needed.) are many women being denied the opportunity to join this branch of the military because they are too short or too tall? a. yes, because a large percentage of women are not allowed to join this branch of the military because of their height. b. no, because only a small percentage of women are not allowed to join this branch of the military because of their height. c. yes, because the percentage of women who meet the height requirement is fairly large. d. no, because the percentage of women who meet the height requirement is fairly small.

Explanation:

Step1: Analyze the given percentage

We know that the percentage of women meeting the height - requirement is 99.41%. So the percentage of women not meeting the requirement is \(100 - 99.41=0.59\%\).

Step2: Determine the answer based on the non - meeting percentage

Since only 0.59% of women are not allowed to join due to height (either too short or too tall), which is a small percentage.

Answer:

B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height.