In his book (Design and Analysis of Experiments, 5th edition, 2001 John Wiley & Sons), D. C. Montgomery presents the results of an experiment involving a storage battery used in the launching mechanism of a shoulder-fired ground to air missile. Three material types can be used to make the battery plates. The objective is to design a battery that is relatively unaffected by the ambient temperature. The output response from the battery is effective life in hours. Three temperature levels are selected, and a factorial experiment with four replicates is run. The data are as follows: Temperature (°F) Material Low Medium High 1 130 155 74 180 34 40 80 75 20 70 82 58 2 150 188 159 126 136 122 106 115 25 70 58 45 3 138 110 168 160 174 120 150 139 96 104 82 60 (a) Test the significance of the main effects and interaction using a = 0.05. Round your answer to two decimal places (e.g. 98.76). Test Material: Calculate Fo i Test Temperature: Calculate Fo i Test Material*Temperature: Calculate Fo i

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Which of the factors and/or interactions are significant? (Click on "yes" if significant at a = 0.05 otherwise click on "no".)
Material
Temperature
Material*Temperature
(b) Analyze the following residual plots to determine model adequacy.
Based on the plot below, does the assumption of normality appear reasonable?
Based on the plot below, does the assumption of constant variance appear reasonable?
Normal Probability Plot ofthe Residuals
(resp onse Is Ihe)
-1
-2
50
Residual
No mal Score
Transcribed Image Text:Which of the factors and/or interactions are significant? (Click on "yes" if significant at a = 0.05 otherwise click on "no".) Material Temperature Material*Temperature (b) Analyze the following residual plots to determine model adequacy. Based on the plot below, does the assumption of normality appear reasonable? Based on the plot below, does the assumption of constant variance appear reasonable? Normal Probability Plot ofthe Residuals (resp onse Is Ihe) -1 -2 50 Residual No mal Score
In his book (Design and Analysis of Experiments, 5th edition, 2001 John Wiley & Sons), D. C. Montgomery presents the results of an
experiment involving a storage battery used in the launching mechanism of a shoulder-fired ground to air missile. Three material types
can be used to make the battery plates. The objective is to design a battery that is relatively unaffected by the ambient temperature.
The output response from the battery is effective life in hours. Three temperature levels are selected, and a factorial experiment with
four replicates is run. The data are as follows:
Temperature (°F)
Material
Low
Medium
High
34 40 E
1
130
155
74
180
80
75
20
70
82 58
150
188
159
126
136
122
106
115
25
70
58
45
138
110
168 160
174
120
150
139
96
104
82 60
(a) Test the significance of the main effects and interaction using a =
0.05. Round your answer to two decimal places (e.g. 98.76).
Test Material:
Calculate Fo
i
Test Temperature:
Calculate Fo
i
Test Material*Temperature:
Calculate Fo
Transcribed Image Text:In his book (Design and Analysis of Experiments, 5th edition, 2001 John Wiley & Sons), D. C. Montgomery presents the results of an experiment involving a storage battery used in the launching mechanism of a shoulder-fired ground to air missile. Three material types can be used to make the battery plates. The objective is to design a battery that is relatively unaffected by the ambient temperature. The output response from the battery is effective life in hours. Three temperature levels are selected, and a factorial experiment with four replicates is run. The data are as follows: Temperature (°F) Material Low Medium High 34 40 E 1 130 155 74 180 80 75 20 70 82 58 150 188 159 126 136 122 106 115 25 70 58 45 138 110 168 160 174 120 150 139 96 104 82 60 (a) Test the significance of the main effects and interaction using a = 0.05. Round your answer to two decimal places (e.g. 98.76). Test Material: Calculate Fo i Test Temperature: Calculate Fo i Test Material*Temperature: Calculate Fo
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