For an ANOVA comparing three treatment conditions, what is stated by the alternative hypothesis (H1)? Question 34 options: All three of the population means are different from each other None of the other choices is correct There are no differences between any of the population means At least one of the three population means is different from another mean

Null hypothesis H0:u1=u2=...=un that is H0:There are no differences between any of the population…

Answered: For an ANOVA comparing three treatment…

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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Question

For an ANOVA comparing three treatment conditions, what is stated by the alternative hypothesis (H1)?

Question 34 options:

	All three of the population means are different from each other
	None of the other choices is correct
	There are no differences between any of the population means
	At least one of the three population means is different from another mean

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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