The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 69.5 feet and a standard deviation of 6.50 feet. Random samples of size 14 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.

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The heights of fully grown trees of a specific species are normally​ distributed, with a mean of
69.5
feet and a standard deviation of
6.50
feet. Random samples of size
14
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.
 
 
 

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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.
 
 
 
 
 
 
69.5 82.5 56.5
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 56.5 to 82.5 in increments of 6.5 and is centered on 69.5. A vertical line segment extends from the horizontal axis to the curve at 69.5.
 
C.
 
 
 
 
 
 
69.5 73.0 66.0
x
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