of 14 women with a mean height less than 66.2 ​inches?   enter your response here ​(Round to four decimal places as​ needed.) Part 3 Are you more likely to randomly select 1 woman with a

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The height of women ages​ 20-29 is normally​ distributed, with a mean of
64.1
inches. Assume
σ=2.6
inches. Are you more likely to randomly select 1 woman with a height less than
66.2
inches or are you more likely to select a sample of
14
women with a mean height less than
66.2
​inches? Explain.
 
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Part 1
What is the probability of randomly selecting 1 woman with a height less than
66.2
​inches?
 
enter your response here
​(Round to four decimal places as​ needed.)
Part 2
What is the probability of selecting a sample of
14
women with a mean height less than
66.2
​inches?
 
enter your response here
​(Round to four decimal places as​ needed.)
Part 3
Are you more likely to randomly select 1 woman with a height less than
66.2
inches or are you more likely to select a sample of
14
women with a mean height less than
66.2
​inches? Choose the correct answer below.
 
 
A.
It is more likely to select a sample of
14
women with a mean height less than
66.2
inches because the sample of
14
has a lower probability.
 
B.
It is more likely to select 1 woman with a height less than
66.2
inches because the probability is higher.
 
C.
It is more likely to select 1 woman with a height less than
66.2
inches because the probability is lower.
 
D.
It is more likely to select a sample of
14
women with a mean height less than
66.2
inches because the sample of
14
has a higher probability.
 
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