(e) The means of all three data sets are to be compared by ANOVA. State the null hypothesis. Determine whether the means differ at the 95% confidence level. Challenge Problem: The following are three sets ofdata for the atomic mass of antimony from the workof Willard and McAlpine":Set 1Set 2Set 3121.771 121.784 121.752121.787 121.758 121.784121.803 121.765 121.765121.781 121.794

We need to compare the means of all the three data H0 : μSet 1 = μset 2 = μSet 3 v/s H1 :…

Answered: e) The means of all three data sets are…

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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(e) The means of all three data sets are to be compared
by ANOVA. State the null hypothesis. Determine
whether the means differ at the 95% confidence level.

Challenge Problem: The following are three sets of
data for the atomic mass of antimony from the work
of Willard and McAlpine":
Set 1
Set 2
Set 3
121.771 121.784 121.752
121.787 121.758 121.784
121.803 121.765 121.765
121.781 121.794

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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