6. Tartus Industries has seven production employees (considered the population). The hourly earnings of each employee are given in the following table.EmployeeJoeSueSamJonBobArtTedEarning($)14141616141618What is the population mean?What is the sampling distribution of the sample mean for samples of size 2?What is the mean of the sampling distribution?What observations can be made about the population and the sampling distribution?Note: Solve only the third and fourth part.

The mean of the sampling distribution of the sample mean is equal to the population mean only. The…

Answered: Tartus Industries has seven production…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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6. Tartus Industries has seven production employees (considered the population). The hourly earnings of each employee are given in the following table.

*Employee*	*Joe*	*Sue*	*Sam*	*Jon*	*Bob*	*Art*	*Ted*
*Earning($)*	14	14	16	16	14	16	18

What is the population mean?
What is the sampling distribution of the sample mean for samples of size 2?
What is the mean of the sampling distribution?
What observations can be made about the population and the sampling distribution?

Note: Solve only the third and fourth part.

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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