MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 the following data:
Temperature
Density
21.7
100
21.8
21.9
21.6
21.7
125
21.4
21.8
21.7
21.5
21.4
150
21.9
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
3.
4.70
0.195
What are the test statistic value, decision and conclusion?
O 4.7; 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 4.55; Do not reject Ho: Data do not show sufficient evidence to say that at least ono median of brick density is different than
the other, at the 5% significance lovel.
O 0.195; Do not reject Ho: Data do not show sufficient ovidence to say that at least one median of brick density is different
than the other, at the 5% significance level.
O 0.157; Do not reject Ho: Data show sufficient evidence to say that temperature does not affect brick density, at the 5%
significance value.
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Transcribed Image Text: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 21.7 100 21.8 21.9 21.6 21.7 125 21.4 21.8 21.7 21.5 21.4 150 21.9 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 3. 4.70 0.195 What are the test statistic value, decision and conclusion? O 4.7; 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 4.55; Do not reject Ho: Data do not show sufficient evidence to say that at least ono median of brick density is different than the other, at the 5% significance lovel. O 0.195; Do not reject Ho: Data do not show sufficient ovidence to say that at least one median of brick density is different than the other, at the 5% significance level. O 0.157; Do not reject Ho: Data show sufficient evidence to say that temperature does not affect brick density, at the 5% significance value.
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