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An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. A completely randomized experiment led to th Temperature Density 100 21.8 21.9 21.7 21.6 21.7 125 21.7 21.4 21.5 21.4 150 21.9 21.8 21.8 21.6 21.5 175 21.9 21.7 21.8 21.4 The research hypothesis is that firing temperature affect the density'of the bricks. Use a= 0.05. Analysis of Variance Test

An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. A completely randomized experiment led to th Temperature Density 100 21.8 21.9 21.7 21.6 21.7 125 21.7 21.4 21.5 21.4 150 21.9 21.8 21.8 21.6 21.5 175 21.9 21.7 21.8 21.4 The research hypothesis is that firing temperature affect the density'of the bricks. Use a= 0.05. Analysis of Variance Test

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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QUESTION 13 An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. A completely randomized experiment led to the following data: Temperature Density 100 21.8 21.9 21.7 21.6 21.7 125 21.7 21.4 21.5 21.4 150 21.9 21.8 21.8 21.6 21.5 175 21.9 21.7 21.8 21.4 The research hypothesis is that firing temperature affect the density'of the bricks Use a= 0 05. Analysis of Variance Test Method DF H-Value P Value Not adjusted for ties 4.55 0.208 Adjusted for ties What are the test statistic value, decision and conclusion? 4.70 0.195 O 0. 157, Do not reject H,, Data show sufficient evidence to say that temperature does not affect brick density at the 5% significance value. O 4.55; Do not reject Ho. Data do not show sufficient evidence to say that at least one median of brick density is different than the other, at the 5% significance level O 47: Do not reject H. Data do not show sufficient evidence to say that at least one median of brick density is different than the other, at the 5% significance level O 0.195; Do not reject H. Data do not show sufficient evidence to say that at least one median of brick density is different than the olher at the 5% significance level
Transcribed Image Text:QUESTION 13 An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. A completely randomized experiment led to the following data: Temperature Density 100 21.8 21.9 21.7 21.6 21.7 125 21.7 21.4 21.5 21.4 150 21.9 21.8 21.8 21.6 21.5 175 21.9 21.7 21.8 21.4 The research hypothesis is that firing temperature affect the density'of the bricks Use a= 0 05. Analysis of Variance Test Method DF H-Value P Value Not adjusted for ties 4.55 0.208 Adjusted for ties What are the test statistic value, decision and conclusion? 4.70 0.195 O 0. 157, Do not reject H,, Data show sufficient evidence to say that temperature does not affect brick density at the 5% significance value. O 4.55; Do not reject Ho. Data do not show sufficient evidence to say that at least one median of brick density is different than the other, at the 5% significance level O 47: Do not reject H. Data do not show sufficient evidence to say that at least one median of brick density is different than the other, at the 5% significance level O 0.195; Do not reject H. Data do not show sufficient evidence to say that at least one median of brick density is different than the olher at the 5% significance level
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