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QUESTION 6 A soft drink bottler is interested in obtaining more uniform fill heights in the bottles produced by his manufacturing process. The process engineer can control three variables during the filling process the percent carbonation (A), the operating pressure in the filler (B), and the bottles produced per minute of the line speed (C). Each factor has two levels so that the experiment is a factorial design with two replicates. The results are as follows: Coded Factors Full Height Deviation Factor Levels Run A C Replicate 1 Replicate a Low (1) High (1) A (%) B (psi) 30 3 C (b/m) 250 B 10 12 1 25 200 . 0 3 4 + -1 o - 1 5 6 2 8 1 6 5 (a) Analyze the data from this experiment, which factors significantly affect fill height deviation? (12 points) (b) Obtain a model for predicting til height deviation in terms of the important process variables. (10 points) (c) Draw the interaction plots, and what's your recommendation of the percent carbonation the operating pressure (B), and the line speed (O (10 points) (n) Construct a design with ABC confounded in the first replicate and AC confounded in the second replicate Outline the analysis of variance with degree of freedoms, and comment on the information obtained (points) QUESTION 6 A soft drink bottler is interested in obtaining more uniform fill heights in the bottles produced by his manufacturing process. The process engineer can control three variables during the filling process the percent carbonation (A), the operating pressure in the filler (B), and the bottles produced per minute of the line speed (C). Each factor has two levels so that the experiment is a factorial design with two replicates. The results are as follows: Coded Factors Full Height Deviation Factor Levels Run A C Replicate 1 Replicate a Low (1) High (1) A (%) B (psi) 30 3 C (b/m) 250 B 10 12 1 25 200 . 0 3 4 + -1 o - 1 5 6 2 8 1 6 5 (a) Analyze the data from this experiment, which factors significantly affect fill height deviation? (12 points) (b) Obtain a model for predicting til height deviation in terms of the important process variables. (10 points) (c) Draw the interaction plots, and what's your recommendation of the percent carbonation the operating pressure (B), and the line speed (O (10 points) (n) Construct a design with ABC confounded in the first replicate and AC confounded in the second replicate Outline the analysis of variance with degree of freedoms, and comment on the information obtained (points)