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.