In the book Design and Analysis of Experiments, 7th edition (2009, John Wiley & Sons)

Chapter 14, Problem 14-3

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In the book Design and Analysis of Experiments, 7th edition (2009, John Wiley & Sons), the results of an experiment involving a storage battery used in the launching mechanism 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) Material Low Medium 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 = 0.05. (b) Graphically analyze the interaction. (c) Analyze the residuals from this experiment.