Question

In: Statistics and Probability

A survey found that​ women's heights are normally distributed with mean 63.5in and standard deviation2.2 in....

A survey found that​ women's heights are normally distributed with mean 63.5in and standard deviation2.2 in. A branch of the military requires​ women's heights to be between 58 in and 80 in.

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​ tall?

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?

a. The percentage of women who meet the height requirement is ___________​%. ​(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.

b. For the new height​ requirements, this branch of the military requires​ women's heights to be at least _____ in and at most in. (Round to one decimal place as​ needed.)

Solutions

Expert Solution


Related Solutions

A survey found that​ women's heights are normally distributed with mean 62.2 in. and a standard...
A survey found that​ women's heights are normally distributed with mean 62.2 in. and a standard deviation of 3.4 in. The survey also found that​ men's heights are normally distributed with mean 68.6 in68.6 in. and a standard deviation of 3.4 in. Consider an executive jet that seats six with a doorway height of 56.3 in. Complete parts​ (a) through​ (c) below. a) What percentage of adult men can fit through the door without​ bending? b) Does the door design...
A survey found that​ women's heights are normally distributed with mean 63.9 in . and standard...
A survey found that​ women's heights are normally distributed with mean 63.9 in . and standard deviation 2.3 in . The survey also found that​ men's heights are normally distributed with mean 67.1 in . and standard deviation 3.5 in . Consider an executive jet that seats six with a doorway height of 56 in . a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is nothing...
A survey found that​ women's heights are normally distributed with mean 62.4 in. and standard deviation...
A survey found that​ women's heights are normally distributed with mean 62.4 in. and standard deviation 3.1 in. The survey also found that​ men's heights are normally distributed with mean 69.3 in. and standard deviation 3.9 in. Consider an executive jet that seats six with a doorway height of 55.8 in. a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is nothing​%. ​(Round to two decimal places...
A survey found that? women's heights are normally distributed with mean 63.9 in and standard deviation...
A survey found that? women's heights are normally distributed with mean 63.9 in and standard deviation 2.4 in. A branch of the military requires? women's heights to be between 58 in and 80 in. 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? tall? b. If this branch of the military changes the height requirements so that all...
A survey found that​ women's heights are normally distributed with mean 62.6 in. and standard deviation...
A survey found that​ women's heights are normally distributed with mean 62.6 in. and standard deviation 2.6 in. The survey also found that​ men's heights are normally distributed with a mean 67.6 in. and standard deviation 2.7. Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 3 in. Find the percentage of women meeting the height...
A survey found that? women's heights are normally distributed with mean 62.7 in. and standard deviation...
A survey found that? women's heights are normally distributed with mean 62.7 in. and standard deviation of 3.4 in. The survey also found that? men's heights are normally distributed with mean of 69.3 in. and a standard deviation of 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts? (a) and? (b) below. a)Find the percentage of men meeting the height...
A survey found that​ women's heights are normally distributed with mean 63.763.7 in and standard deviation...
A survey found that​ women's heights are normally distributed with mean 63.763.7 in and standard deviation 2.32.3 in. A branch of the military requires​ women's heights to be between 58 in and 80 in. 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​ tall? b. If this branch of the military changes the height requirements so that all...
A survey found that​ women's heights are normally distributed with mean 62.1 in. and standard deviation...
A survey found that​ women's heights are normally distributed with mean 62.1 in. and standard deviation 3.1 in. The survey also found that​ men's heights are normally distributed with mean 69.6 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63in. Complete parts​ (a) and​ (b) below. a. Find the percentage of men meeting the height requirement. What does the...
A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation...
A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation of 3.7 in. The survey also found that​ men's heights are normally distributed with a mean 68.6 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below. a. Find the percentage of men meeting the height requirement....
A survey found that women's heights are normally distributed with mean 62.6 in. and standard deviation...
A survey found that women's heights are normally distributed with mean 62.6 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.1 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT