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The height of women ages​ 20-29 is normally​ distributed, with a mean of 64.3 inches. Assume σ=2.7 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 ​inches? Explain.   LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table.       Question content area bottom Part 1 What is the probability of randomly selecting 1 woman with a height less than 64.9 ​inches?   enter your response here ​(Round to four decimal places as​ needed.) Part 2 What is the probability of selecting a sample of 20 women with a mean height less than 64.9 ​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 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 ​inches? Choose the correct answer below.     A. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a higher probability.   B. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is higher.   C. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is lower.   D. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a lower probability.

The height of women ages​ 20-29 is normally​ distributed, with a mean of 64.3 inches. Assume σ=2.7 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 ​inches? Explain.   LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table.       Question content area bottom Part 1 What is the probability of randomly selecting 1 woman with a height less than 64.9 ​inches?   enter your response here ​(Round to four decimal places as​ needed.) Part 2 What is the probability of selecting a sample of 20 women with a mean height less than 64.9 ​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 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 ​inches? Choose the correct answer below.     A. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a higher probability.   B. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is higher.   C. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is lower.   D. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a lower probability.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The height of women ages​ 20-29 is normally​ distributed, with a mean of
64.3
inches. Assume
σ=2.7
inches. Are you more likely to randomly select 1 woman with a height less than
64.9
inches or are you more likely to select a sample of
20
women with a mean height less than
64.9
​inches? Explain.
 
LOADING...
Click the icon to view page 1 of the standard normal table.
LOADING...
Click the icon to view page 2 of the standard normal table.
 
 
 

Question content area bottom

Part 1
What is the probability of randomly selecting 1 woman with a height less than
64.9
​inches?
 
enter your response here
​(Round to four decimal places as​ needed.)
Part 2
What is the probability of selecting a sample of
20
women with a mean height less than
64.9
​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
64.9
inches or are you more likely to select a sample of
20
women with a mean height less than
64.9
​inches? Choose the correct answer below.
 
 
A.
It is more likely to select a sample of
20
women with a mean height less than
64.9
inches because the sample of
20
has a higher probability.
 
B.
It is more likely to select 1 woman with a height less than
64.9
inches because the probability is higher.
 
C.
It is more likely to select 1 woman with a height less than
64.9
inches because the probability is lower.
 
D.
It is more likely to select a sample of
20
women with a mean height less than
64.9
inches because the sample of
20
has a lower probability.
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