In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0".Source of VariationSum of SquaresDegrees of FreedomMean SquareFp-valueTreatments300 Error Total460 What hypotheses are implied in this problem? 0: SelectAll five treatment means are equal not all five treatment means are equalItem 9 a: SelectAll five treatment means are equal not all five treatment means are equalItem 10 At the = .05 level of significance, can we reject the null hypothesis in part (a)?Calculate the value of the test statistic (to 2 decimals). The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 12 What is your conclusion?SelectConclude, not all five treatment means are equal can not reject the assumption all five treatment means are equalItem 13

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Answered: What hypotheses are implied in this…

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, seven experimental units were used for each of the five levels of the factor. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0".

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments	300
Error
Total	460

What hypotheses are implied in this problem?
₀: SelectAll five treatment means are equal not all five treatment means are equalItem 9

_a: SelectAll five treatment means are equal not all five treatment means are equalItem 10
At the = .05 level of significance, can we reject the null hypothesis in part (a)?

Calculate the value of the test statistic (to 2 decimals).

The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 12

What is your conclusion?
SelectConclude, not all five treatment means are equal can not reject the assumption all five treatment means are equalItem 13

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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