The annual salary for one particular occupation is normally distributed, with a mean of about $131,000 and a standard deviation of about $23,000.Random samples of 41 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 isI, and the standard deviation is%D%3D(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.В.OC.OD.120,000 131,000 142,000Mean salary (in dollars)9,45918,75920,459Mean salary (in dollars)62,000 131,000 200,000Mean salary (in dollars)20,459Mean salary (in dollars)31,45922,159

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Answered: The mean is µ; = , and the standard…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The annual salary for one particular occupation is normally distributed, with a mean of about $131,000 and a standard deviation of about $23,000.

Random samples of 41 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
I, and the standard deviation is
%D
%3D
(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.
В.
OC.
OD.
120,000 131,000 142,000
Mean salary (in dollars)
9,459
18,759
20,459
Mean salary (in dollars)
62,000 131,000 200,000
Mean salary (in dollars)
20,459
Mean salary (in dollars)
31,459
22,159

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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