The annual salary for one particular occupation is normally distributed, with a mean of about $123,000 and a standard deviation of about $23,000. Random samples of 28 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 p; =, and the standard deviation is o; = (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. OA. OB. OC. OD. 20.745 23.245 25.745 Mean salary (in dollars) 9.245 23 245 37 245 Mean salary (in dolars) 109 000 123 000 137.000 Mean sa ary (in dollars) 54.000 123 000 192.000 Mean salary (in dollars) ------

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The annual salary for one particular occupation is normally distributed, with a mean of about $123,000 and a standard deviation of about $23,000. Random samples of 28 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 \( \mu_x = \underline{\hspace{1cm}} \), and the standard deviation is \( \sigma_x = \underline{\hspace{1cm}} \).

(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.

- Option A: A bell curve with values 20,745; 23,245; 25,745 on the x-axis.
- Option B: A bell curve with values 9,245; 22,245; 37,245 on the x-axis.
- Option C: A bell curve with values 109,000; 123,000; 137,000 on the x-axis.
- Option D: A bell curve with values 54,000; 123,000; 192,000 on the x-axis.
Transcribed Image Text:The annual salary for one particular occupation is normally distributed, with a mean of about $123,000 and a standard deviation of about $23,000. Random samples of 28 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 \( \mu_x = \underline{\hspace{1cm}} \), and the standard deviation is \( \sigma_x = \underline{\hspace{1cm}} \). (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. - Option A: A bell curve with values 20,745; 23,245; 25,745 on the x-axis. - Option B: A bell curve with values 9,245; 22,245; 37,245 on the x-axis. - Option C: A bell curve with values 109,000; 123,000; 137,000 on the x-axis. - Option D: A bell curve with values 54,000; 123,000; 192,000 on the x-axis.
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