Here is data on the number of flat screen TVs in a home. The data are random samples from 3 different cities of similar size. Sample 1Sample 2Sample 333432 757497346311 Test the claim that the samples come from populations with equal mean numbers of TVs per household. Use a 5% level of significance. Assume all requirements have been met.What is the P-value?Will the null hypothesis be rejected?Do the populations have the same means?

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Description: Here is data on the number of flat screen TVs in a home. The data are random samples from 3 different cities of similar size. Sample 1Sample 2Sample 333432 757497346311 Test the claim that the samples come from populations with equal mean numbers

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Here is data on the number of flat screen TVs in a home. The data are random samples from 3 different cities of similar size.

Sample 1	Sample 2	Sample 3
3 3 4 3 2	7 5 7 4 9 7	3 4 6 3 1 1

Sample 1

Sample 2

Sample 3

Test the claim that the samples come from populations with equal mean numbers of TVs per household. Use a 5% level of significance. Assume all requirements have been met.
What is the P-value?
Will the null hypothesis be rejected?
Do the populations have the same means?

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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