PLEASE NO SOFTWARE IS ALLOWED TO SOLVED THE PROBLEM Problem 3 - Present the resu
ID: 3325218 • Letter: P
Question
PLEASE NO SOFTWARE IS ALLOWED TO SOLVED THE PROBLEM
Problem 3 - Present the results by hand; software is notallowed to solve the problem. The yield of an active ingredient in a chemical plant is being studied. It is known that the two most significantvariables in the process are: temperature and pressure. Two levels of each factor are selected with tworeplicas in each case. The yield of the active ingredient was as follows according to the experimental design described above: Pressure Temperature Low 90.4 90.2 90.5 90.7 90.2 90.4 90.4 90.1 Low High (a) Construct the ANOVA table for this design of experiments bjVerify if the interaction of the factorsis significant at a confidence levelofo.osExplanation / Answer
Result:
Two factor ANOVA
Factor 2
Means:
Low pressure
High pressure
Low
90.30
90.30
90.30
Factor 1
High
90.60
90.25
90.43
90.45
90.28
90.36
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1 temperature
0.031
1
0.0312
1.19
.3366
Factor 2 pressure
0.061
1
0.0612
2.33
.2013
Interaction
0.061
1
0.0612
2.33
.2013
Error
0.105
4
0.0263
Total
0.259
7
To test for interaction, calculated F=2.33, P=0.2013 which is > 0.05 level of significance.
Ho is not rejected.
Interaction effect is not significant.
Two factor ANOVA
Factor 2
Means:
Low pressure
High pressure
Low
90.30
90.30
90.30
Factor 1
High
90.60
90.25
90.43
90.45
90.28
90.36
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1 temperature
0.031
1
0.0312
1.19
.3366
Factor 2 pressure
0.061
1
0.0612
2.33
.2013
Interaction
0.061
1
0.0612
2.33
.2013
Error
0.105
4
0.0263
Total
0.259
7
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