Question
In: Statistics and Probability
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 2.3 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 women are eligible except the shortest 1% and the
tallest 2%, what are the new height requirements?
Solutions
Expert Solution
Let X denotes the height of a randomly selected woman.
X ~ Normal(63.9, 2.32)
a) The percentage of women meeting the height requirement
b) To find the tallest 2% i.e. x2 such that
(ans)
To find the shortest 1% i.e. x1 such that
(ans)
orchestra answered 2 years agoRelated Solutions
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