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he height of women ages​ 20-29 is normally​ distributed, with a mean of 64.3 inches. Assume σ=2.5 inches. Are you more likely to randomly select 1 woman with a height less than 66.1 inches or are you more likely to select a sample of 17 women with a mean height less than

he height of women ages​ 20-29 is normally​ distributed, with a mean of 64.3 inches. Assume σ=2.5 inches. Are you more likely to randomly select 1 woman with a height less than 66.1 inches or are you more likely to select a sample of 17 women with a mean height less than

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The height of women ages​ 20-29 is normally​ distributed, with a mean of
64.3
inches. Assume
σ=2.5
inches. Are you more likely to randomly select 1 woman with a height less than
66.1
inches or are you more likely to select a sample of
17
women with a mean height less than
66.1
​inches? Explain.
 
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Part 1
What is the probability of randomly selecting 1 woman with a height less than
66.1
​inches?
 
enter your response here
​(Round to four decimal places as​ needed.)
Part 2
What is the probability of selecting a sample of
17
women with a mean height less than
66.1
​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
66.1
inches or are you more likely to select a sample of
17
women with a mean height less than
66.1
​inches? Choose the correct answer below.
 
 
A.
It is more likely to select 1 woman with a height less than
66.1
inches because the probability is lower.
 
B.
It is more likely to select a sample of
17
women with a mean height less than
66.1
inches because the sample of
17
has a higher probability.
 
C.
It is more likely to select 1 woman with a height less than
66.1
inches because the probability is higher.
 
D.
It is more likely to select a sample of
17
women with a mean height less than
66.1
inches because the sample of
17
has a lower probability.
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