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Height Requirement Assignment Use the given parameters to complete the assignment: Men's heights are normally distributed...
Height Requirement Assignment
Use the given parameters to complete the assignment:
- Men's heights are normally distributed with mean 69.5 in. and standard deviation 2.4 inches.
- Women's heights are normally distributed with mean 63.8 in. and standard deviation 2.6 inches.
The U.S. Air Force requires pilots to have heights between 64
in. and 77 in.
Answer the following questions for the height requirement for U.S.
Air Force pilots.
a) What percent of women meet the height requirements?
b) What percent of men meet the height requirements?
c) If the Air Force height requirements are changed to exclude only
the tallest 5% of men and the shortest 5% of women, what are the
new height requirements?
Solutions
milcah answered 1 year agoRelated Solutions
Men's heights are normally distributed with mean 68.9 in and standard deviation of 2.8 in. Women's...
Men's heights are normally distributed with mean 68.9 in and
standard deviation of 2.8 in. Women's heights are normally
distributed with mean 63.6 in and standard deviation of 2.5 in. The
standard doorway height is 80 in. a. What percentage of men are too
tall to fit through a standard doorway without bending, and what
percentage of women are too tall to fit through a standard doorway
without bending? b. If a statistician designs a house so that all
of...
Suppose men's heights are normally distributed with mean of 176 cm and variance of 25cm^2. A....
Suppose men's heights are normally distributed with mean of 176
cm and variance of 25cm^2.
A. What proportion of mean are between 172 cm and 178 cm
tall?
B. Find the minimum ceiling of an airplane such that at most 2%
of the men walking down the aisle will have to duck their
heads.
C. Suppose you take a random sample of 6 men. What is the
sampling distribution of the sample mean height? Why?
D. Find the probability that...
The heights of children are normally distributed. For three year old girls, the mean height is...
The heights of children are normally distributed. For three year
old girls, the mean height is 38.7 inches and the standard
deviation is 3.2 inches. A random sample of 5 three year old girls
are chosen. Find P(x⎯⎯⎯ < 37) for n = 5. Enter your answer as an
area under the curve with 4 decimal places. P(x⎯⎯⎯ < 37)
The heights of children are normally distributed. For three year old girls, the mean height is...
The heights of children are normally distributed. For three year
old girls, the mean height is 38.7 inches and the standard
deviation is 3.2 inches. A random sample of 14 three year old girls
are chosen. Find P(x⎯⎯⎯ < 37) for n = 14. Enter your answer as
an area under the curve with 4 decimal places.
1.Assume that the heights of adult women are normally distributed with a mean height of 160...
1.Assume that the heights of adult women are normally
distributed with a mean height of 160 centimeters and the standard
deviation is 8 centimeters.
What percentage of individuals have heights less than 160
centimeters?
2. Find the probability that a randomly selected individual has
a height greater than 176 centimeters.
3. Find the probability that a randomly selected individual has
a height less than 152 centimeters.
4. Can you determine the probability that a randomly selected
individual has a height...
[Normal] Heights for American women are normally distributed with parameters μ = 65 inches and σ...
[Normal] Heights for American women are normally distributed
with parameters μ = 65 inches and σ = 2.5 inches.
a. What is the probability that a randomly selected woman is
shorter than 63 inches?
b. What height value marks the bottom 8% of the distribution?
please show all work used to solve this problem
Assume that women's heights are normally distributed with a mean given by , 62.6 and a...
Assume that women's heights are normally distributed with a
mean given by , 62.6 and a standard deviation given by 2.8 . (a)
If 1 woman is randomly selected, find the probability that her
height is less than 63 in. (b) If 49 women are randomly selected,
find the probability that they have a mean height less than 63
in.
a.) Men's heights are distributed as the normal distribution with a mean of 71 inches and...
a.) Men's heights are distributed as the normal distribution
with a mean of 71 inches and a standard deviation of inches. Find
the probability that a randomly selected man has a height between
69 inches and 73 inches.
b.) Men's heights are distributed as the normal distribution
with a mean of 71 inches and a standard deviation of 3 inches. A
random sample of 100 men is selected. Find the probability that the
sample mean is greater than 70.75 inches....
1. A random variable is known to be normally distributed with the parameters shown below. Complete...
1. A random variable is known to be normally distributed with
the parameters shown below. Complete parts a and b.
μ=8.1and σ equals=0.70
a. Determine the value of x such that the probability of a value
from this distribution exceeding x is at most 0.05.
b. Referring to your answer in part a, what must the population
mean be changed to if the probability of exceeding the value of x
found in part a is reduced from 0.20 to 0.10?...
Assume that women's heights are normally distributed with a mean given by mu=64.4 in , and...
Assume that women's heights are normally distributed with a
mean given by mu=64.4 in , and a standard deviation given by
sigma=1.8 in . Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that
her height is between 64.2 in and 65.2 in. The probability is
approximately ? . (Round to four decimal places as needed.)
b. If 14 women are randomly selected, find the probability that
they have a mean height between 64.2...
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