Exercise 14-3. In the book Design and Analysis of Experiments, 8th edition (2012, John Wiley & Sons), the results of an experi- ment involving a storage battery used in the launching mecha- nism of a shoulder-fired ground-to-air missile were presented. 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) Medium Material Low High 1 130 155 34 40 20 70 74 180 80 75 82 58 2 150 188 136 122 25 70 159 126 106 115 58 45 3 138 110 174 120 96 104 168 160 150 139 82 60 (a) Test the appropriate hypotheses and draw conclusions using the analysis of variance with α = 0.05. (b) Graphically analyze the interaction. (c) Analyze the residuals from this experiment.

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Exercise
14-3. In the book Design and Analysis of Experiments,
8th edition (2012, John Wiley & Sons), the results of an experi-
ment involving a storage battery used in the launching mecha-
nism of a shoulder-fired ground-to-air missile were presented.
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)
Medium
Material
Low
High
1
130
155
34
40
20
70
74
180
80
75
82
58
2
150
188
136
122
25
70
159
126
106
115
58
45
3
138
110
174
120
96
104
168
160
150
139
82
60
(a) Test the appropriate hypotheses and draw conclusions
using the analysis of variance with α = 0.05.
(b) Graphically analyze the interaction.
(c) Analyze the residuals from this experiment.
Transcribed Image Text:Exercise 14-3. In the book Design and Analysis of Experiments, 8th edition (2012, John Wiley & Sons), the results of an experi- ment involving a storage battery used in the launching mecha- nism of a shoulder-fired ground-to-air missile were presented. 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) Medium Material Low High 1 130 155 34 40 20 70 74 180 80 75 82 58 2 150 188 136 122 25 70 159 126 106 115 58 45 3 138 110 174 120 96 104 168 160 150 139 82 60 (a) Test the appropriate hypotheses and draw conclusions using the analysis of variance with α = 0.05. (b) Graphically analyze the interaction. (c) Analyze the residuals from this experiment.
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