In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0".Source of VariationSum of SquaresDegrees of FreedomMean SquareFp-valueTreatments1,100 Error Total1,700 At a .05 level of significance, is there a significant difference between the treatments?The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10What is your conclusion?- Select your answer -Cannot conclude that the means of the three treatments are equalConclude that the means of the three treatments are equal

Solution: We have to complete the ANOVA table and draw the conclusion based on the computed ANOVA…

Answered: In a completely randomized design, 12…

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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In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0".

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments	1,100
Error
Total	1,700

At a .05 level of significance, is there a significant difference between the treatments?

The -value is - Select your answer -

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

What is your conclusion?

- Select your answer -

Cannot conclude that the means of the three treatments are equal

Conclude that the means of the three treatments are equal

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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