The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$132,000 and a standard deviation of about ​$24,000.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The annual salary for one particular occupation is normally​ distributed, with a mean of about
​$132,000
and a standard deviation of about
​$24,000.
Random samples of
26
are drawn from this​ population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means.​ Then, sketch a graph of the sampling distribution.
The mean is
μx=nothing​,
and the standard deviation is
σx=nothing.
​(Round to the nearest integer as needed. Do not include the​ $ symbol in your​ answers.)
Sketch a graph of the sampling distribution. Choose the correct answer below.
 
 
A.
 
 
 
 
 
132,000117,000147,000Mean salary (in dollars)
 
  •  
  •  
  •  
A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 117000 to 147000 in increments of 1000 and is centered on 132,000. A vertical line segment extends from the horizontal axis to the curve at 132,000. The curve is near the axis at 117000 and 147000.
 
B.
 
 
 
 
 
132,00060,000204,000Mean salary (in dollars)
 
  •  
  •  
  •  
A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 60000 to 204000 in increments of 12000 and is centered on 132,000. A vertical line segment extends from the horizontal axis to the curve at 132,000. The curve is near the axis at 60000 and 204000.
 
C.
 
 
 
 
 
25,88723,08728,687Mean salary (in dollars)
 
  •  
  •  
  •  
A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 23087 to 28687 in increments of 200 and is centered on 25,887. A vertical line segment extends from the horizontal axis to the curve at 25,887. The curve is near the axis at 23087 and 28687.
 
D.
 
 
 
 
 
25,88710,88740,887Mean salary (in dollars)
 
  •  
  •  
  •  
A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 10887 to 40887 in increments of 1000 and is centered on 25,887. A vertical line segment extends from the horizontal axis to the curve at 25,887. The curve is near the axis at 10887 and 40887.
 
Click to select your answer(s).
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