Question

According to the U.S. Army medical disqualification list, men must be between 150cm and 200cm tall. The average height of Australian females is 161cm with a standard deviation of 6.7cm. What proportion of Australian females would meet the U.S. Army height regulations? Assume that height is Normally distributed.

The answer is (94.97 %), please explain how [show working].

Answer #1

8.) The U.S. Army requires women’s heights to be between 57 in
and 79 in.
a.) Find the percentage of women meeting the height requirement.
Are many women being denied the opportunity to join the Army
because they are too short or too tall?
b.) If the U.S. Army changes the height requirements so that all
women are eligible except the shortest 1% and the tallest 2%, what
are the new height requirements?
Note: Women’s heights are normally distributed with...

1. Men’s heights are normally distributed with a mean 69.5in and
standard deviation 2.4in. Women’s heights are normally distributed
with mean 63.8 in and standard deviation 2.6 in.
a) What percentage of women are taller than 68 inches tall?
b) The U.S. Airforce requires that pilots have heights between
64in. And 77in. What percentage of adult men meet the height
requirements?
c) If the Air Force height requirements are changed to exclude
only the tallest 3% of men and the...

Men in the U.S have heights which are normally distributed with
a mean of 68 inches and a standard deviation of 2.5 inches. What
percentage of men have heights between 66 inches and 69.5 inches?
What height separates the shortest 6% of men from the 94% tallest
men?

According to the internet, the average (mean) height of adult
men in the U.S. is 69.3 inches tall (about 5 foot, 9 inches tall).
That seems wrong to me, and so I decide to test whether or not that
is true by measuring the heights of a random sample of 63 adult
men. I find that my sample of 63 women has a mean height of 71.2
inches, and a standard deviation of 1.2 inches.
Answer the following questions in...

Heights are generally normally distributed. Men have a mean of
69.5 inches and standard deviation 2.4 inches. Women have a mean of
63.8 inches and standard deviation 2.6 inches. The US Air Force has
a height requirement for their pilots to be between 64 inches and
77 inches.
Make sure you are rounding z-scores properly to two
places.
Part A: Find the two z-scores for women who meet this height
requirement z = (smaller value) and z
= (larger value)
Part B:...

2. Men who wish to join the new United States Space Force can't
be too tall or too short. Suppose the Space Force wants to make
sure that 95 percent of men are eligible on the basis of height.
(Strictly speaking, I don't know what this percentage is but let's
suppose it is 95%.) Assume male heights are normally distributed
with a mean of 69 inches and a standard deviation of 2.8 inches,.
Answer the following questions.
a) If the...

A medical team was asked to study the difference in systolic
blood pressure (BP) between men (µ1) and women
(µ2) with heart trouble. The BP measurements are normally
distributed. The variance of the men’s group is equal to thatof the
women’s group. For a random sample of 4 men, the sample
average is 175 and the sample standard deviation is
16. For a random sample of 5 women, the
sample average is 145 and the sample standard deviation is 12.
What is the...

based on a study of the heights of the u.s male population
between the age of 20 to 29 and between the years 2003 to 2006 you
assume that the height of U.S. males in this age category and time
period is normally distributed. Their mean height is 177.6 cm and
the population standard deviation is 9.7 cm.
a) what is the friction of this population over 6ft tall (182.88
cm)
b) what fraction of the population are between 5...

A common design requirement is that an environment must fit the
range of people who fall between the 5th percentile for women and
the 95th percentile for men. In designing an assembly work table,
the sitting knee height must be considered, which is the distance
from the bottom of the feet to the top of the knee. Males have
sitting knee heights that are normally distributed with a mean of
21.7 in. and a standard deviation of 1.2 in. Females...

. A survey was conducted to measure the heights of U.S. men. In
the survey, respondents were grouped by age. In the 20-29 age
group, the heights were normally distributed, with a mean of 69.9
inches and a standard deviation of 3.0 inches. A study participant
is randomly selected. (Adapted from US. National Center for Health
Statistics).
(a) Find the probability that his height is less than 66
inches.
(b) Find the probability that his height is between 66 and...

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