Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.

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Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.
 
The per capita consumption of red meat by people in a country in a recent year was normally​ distributed, with a mean of
112
pounds and a standard deviation of
37.1
pounds. Random samples of size
18
are drawn from this population and the mean of each sample is determined.
μx=nothing
σx=nothing
​(Round to three decimal places as​ needed.)
Sketch a graph of the sampling distribution. Choose the correct graph below.
 
 
A.
 
 
 
 
 
8.7    -327.3344.7
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from negative 327.3 to 344.7 and is centered on 8.7.
 
B.
 
 
 
 
 
112    94.5129.5
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 94.5 to 129.5 and is centered on 112.
 
C.
 
 
 
 
 
8.7    -103.3120.7
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from negative 103.3 to 120.7 and is centered on 8.7.
 
D.
 
 
 
 
 
112    85.8138.2
x
 
  •  
  •  
  •  
A normal curve is over a horizontal x overbar axis labeled from 85.8 to 138.2 and is centered on 112.
 
Click to select your answer(s).
Expert Solution
Given

mean = 112

s =37.1

n = 18

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