The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 51.0 feet and a standard deviation of 7.00 feet. Random samples of size 13 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.       Question content area bottom Part 1 The mean of the sampling distribution is μx=enter your response here   .   The standard error of the sampling distribution is σx=enter your response here   . ​(Round to two decimal places as​ needed.) Part 2 Choose the correct graph of the sampling distribution below.     A.             0 2 -2 x         A normal curve is over a horizontal x overbar axis labeled from negative 2 to 2 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 0.   B.             51.0 54.9 47.1 x         A normal curve is over a horizontal x overbar axis labeled from 47.1 to 54.9 in increments of 1.9 and is centered on 51.0. A vertical line segment extends from the horizontal axis to the curve at 51.0.   C.             51.0 65.0 37.0 x

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The heights of fully grown trees of a specific species are normally​ distributed, with a mean of
51.0
feet and a standard deviation of
7.00
feet. Random samples of size
13
are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
 
 
 

Question content area bottom

Part 1
The mean of the sampling distribution is
μx=enter your response here
 
.
 
The standard error of the sampling distribution is
σx=enter your response here
 
.
​(Round to two decimal places as​ needed.)
Part 2
Choose the correct graph of the sampling distribution below.
 
 
A.
 
 
 
 
 
 
0 2 -2
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from negative 2 to 2 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 0.
 
B.
 
 
 
 
 
 
51.0 54.9 47.1
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 47.1 to 54.9 in increments of 1.9 and is centered on 51.0. A vertical line segment extends from the horizontal axis to the curve at 51.0.
 
C.
 
 
 
 
 
 
51.0 65.0 37.0
x
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