14-1. 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 temper- ature. The output response from the battery is effective life in hours. Three temperature levels are selected, and a fac- torial experiment with four replicates is run. The data are as
follows:
Material
Temperature (°F)
Low
Medium
34
40
High
20
70
130
155
74
180
80
75
82
58
2
150
188
136
122
25
70
159
126
106
115
58
Sb
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 a = 0.05.
(b) Graphically analyze the interaction.
(c) Analyze the residuals from this experiment.