5.13. An experiment was conducted to determine whether either firing temperature or furnace position affects the baked density of a carbon anode. The data are shown below:

Suppose we assume that no interaction exists. Write down the statistical model. Conduct the analysis of variance and test hypotheses on the main effects. What conclusions can be drawn? Comment on the model’s adequacy.

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Temperature (C) Position 800 825 850 570 1063 565 1 565 1080 510 583 1043 590 528 988 526 2 547 1026 538 521 1004 532