An experiment was conducted to determine whether either ring 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 o = 0.05. What are your conclusions? c. Analyze the residuals from this experiment. [Calculate the residual values and run a normality test on it) d. Using t-test comparison, investigate the differences between the mean baked anode density at the three different levels of temperature. Use (1 = 0.05