Answered: The annual salary for one particular…

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 $125,00 and a standard deviation of about $19,000.

Random samples of 35 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 annual salary for one particular occupation is normally distributed, with a mean of about $125,000 and a standard deviation of about $19,000. Random samples of 35 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 µ: = || | and the standard deviation is
%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.
O A.
OB.
OC.
O D.
22,829
21,129
Mean salary (in dollars)
19,429
115,000 125,000 135,000
Mean salary (in dollars)
68,000 125,000 182,000
Mean salary (in dollars)
11,129
31,129
21,129
Mean salary (in dollars)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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