Ten observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are the results: Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 18.24 Within Treatments(error) 158.4 Using level of significance =.05, test to see if there is a significance difference among the means of the three populations.If in (1) you concluded that at least one mean is different from the others, determine which mean is different. The three sample means areX1= 24.8, X2=23.4, and X3=27.4.Use Fisher’s LSD procedure and let level of significance=.05

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Description: Ten observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are the results: Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between T

Given Information : Number of groups , k = 3 Number of observations in each group, n = 10 Total…

Answered: Ten observations were selected from…

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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Ten observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are the results:

Source of Variation Sum of Squares Degrees of Freedom Mean Square F

Between Treatments 18.24

Within Treatments(error) 158.4

Using level of significance =.05, test to see if there is a significance difference among the means of the three populations.
If in (1) you concluded that at least one mean is different from the others, determine which mean is different. The three sample means are

X₁= 24.8, X₂=23.4, and X₃=27.4.

Use Fisher’s LSD procedure and let level of significance=.05

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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