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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