The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$131,000 and a standard deviation of about ​$24,000. Random samples of 45 are drawn from this​...




The annual salary for one particular occupation is normally​ distributed, with a mean of about
​$131,000

and a standard deviation of about
​$24,000.

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.












131,000120,000142,000Mean salary (in dollars)










A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 120000 to 142000 in increments of 1000 and is centered on 131,000. A vertical line segment extends from the horizontal axis to the curve at 131,000. The curve is near the axis at 120000 and 142000.






B.












131,00059,000203,000Mean salary (in dollars)










A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 59000 to 203000 in increments of 12000 and is centered on 131,000. A vertical line segment extends from the horizontal axis to the curve at 131,000. The curve is near the axis at 59000 and 203000.






C.












19,52817,92821,128Mean salary (in dollars)










A normal curve is over a horizontal axis labeled "Mean salary (in dollars)" from 17928 to 21128 in increments of 200 and is centered on 19,528. A vertical line segment extends from the horizontal axis to the curve at 19,528. The curve is near the axis at 17928 and 21128.






D.












19,5288,52830,528Mean salary (in dollars)










Jun 07, 2022
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