1. In the book Design and Anon-sis cfqseriments, fth edition [2012, John Wiley 3; Sons}, the results of an experiment Involving a storage battery used in the launching mechanism of a shoulderfired groundto air missile were presented. Three material types can be used to make the battery plates. The oblectiye 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 ether either firing temperature or furnace position affects the baked density of a carbon anode. The data are as follows: Temperature ('C) Position 800 825 850 1 570 1063 565 565 1080 510 583 1043 590 2 528 988 526 547 1026 538 521 1004 532 (a) State the hypotheses of interest. (b) Test the hypotheses in part (a) using the analysis of variance with a = 0.05. What are your conclusions? (c) Analyze the residuals from this experiment. (d) Using Fisher's LSD method, investigate the differences between the mean baked anode density at the three different levels of temperature. Use a = 0.05