The annual salary for one particular occupation is normally distributed, with a mean of about $120,000 and a standard deviation of about $23,000.Random samples of 30 are drawn from thispopulation, 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|, and the standard deviation is=(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.С.D.51,000 120,000 189,000Mean salary (in dollars)21,909Mean salary (in dollars)107,000 120,000 133,000Mean salary (in dollars)19,50921,909Mean salary (in dollars)24,3098,90934,909

The mean and standard deviation of the population is given as μ=120,000σ=23,000 The sample of n=30…

Answered: The annual salary for one particular…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The annual salary for one particular occupation is normally distributed, with a mean of about $120,000 and a standard deviation of about $23,000.

Random samples of 30 are drawn from thispopulation, 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
|, and the standard deviation is
=
(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.
С.
D.
51,000 120,000 189,000
Mean salary (in dollars)
21,909
Mean salary (in dollars)
107,000 120,000 133,000
Mean salary (in dollars)
19,509
21,909
Mean salary (in dollars)
24,309
8,909
34,909

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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