Develop the analysis of variance computations for the following completely randomized design. At ? = 0.05, is there a significant difference between the treatment means? TreatmentABC 135108931211148311212685106103101130107881151101181289611197113120 10498 7993xj11810699sj2167.43152.89177.33Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.)p-value =

Analysis of Variance (ANOVA) for Completely Randomized DesignBased on the provided information,…

Answered: Develop the analysis of variance…

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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Develop the analysis of variance computations for the following completely randomized design. At ? = 0.05, is there a significant difference between the treatment means?

	Treatment
A	B	C
	135	108	93
121	114	83
112	126	85
106	103	101
130	107	88
115	110	118
128	96	111
97	113	120
	104	98
	79	93
x_j	118	106	99
s_j²	167.43	152.89	177.33

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

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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