The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$134,000 and a standard deviation of about ​$16,000. Random samples of 45 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.

The annual salary for one particular occupation is normally​ distributed, with a mean of about

​$134,000

and a standard deviation of about

​$16,000.

Random samples of

45

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.

 
 
 
 
 

134,00086,000182,000Mean salary (in dollars)

 
  •  
  •  
  •  

A normal curve is over a horizontal axis labeled “Mean salary (in dollars)” from 86000 to 182000 in increments of 8000 and is centered on 134,000. A vertical line segment extends from the horizontal axis to the curve at 134,000. The curve is near the axis at 86000 and 182000.

 

B.

 
 
 
 
 

19,97618,87621,076Mean salary (in dollars)

 
  •  
  •  
  •  

A normal curve is over a horizontal axis labeled “Mean salary (in dollars)” from 18876 to 21076 in increments of 200 and is centered on 19,976. A vertical line segment extends from the horizontal axis to the curve at 19,976. The curve is near the axis at 18876 and 21076.

 

C.

 
 
 
 
 

19,97611,97627,976Mean salary (in dollars)

 
  •  
  •  
  •  

A normal curve is over a horizontal axis labeled “Mean salary (in dollars)” from 11976 to 27976 in increments of 1000 and is centered on 19,976. A vertical line segment extends from the horizontal axis to the curve at 19,976. The curve is near the axis at 11976 and 27976.

 

D.

 
 
 
 
 

134,000126,000142,000Mean salary (in dollars)

 
  •  
  •  
  •  

A normal curve is over a horizontal axis labeled “Mean salary (in dollars)” from 126000 to 142000 in increments of 1000 and is centered on 134,000. A vertical line segment extends from the horizontal axis to the curve at 134,000. The curve is near the axis at 126000 and 142000.

 
Click to select your answer(s).
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