1. Using ANOVA, answer the following:
   1. (6) Do the main effects significantly affect filling time? Give a reason for each main effect including a statistic (number). Show the JMP output that supports your conclusions.
   2. (3) Is the interaction effect significant? Provide a yeso answer and reason, including a statistic (i.e., p-value) and the JMP output to support the conclusion.
   3. (6) For significant effects only, use post-hoc analysis to determine the specific levels that have a significant effect on filling time. Show the post-hoc analysis results from JMP and provide a statistic (i.e., p-value) in your discussion.

Measurement of filling time in minutes for specimens of cloths A, B, and C from machines 1, 2, 3, ..., 9 in a certain plant gave the results shown below. You may assume that the model meets all assumptions necessary to perform ANOVA. Cloth 1 2 3 7 8 9 A A 18.76 21.18 21.18 19.1 21.74 18.99 B 20.69 23.2 16.85 20.16 22.68 23.59 19.77 23.94 20.75 21.49 21.9 18.61 Machine 5 22.28 20.45 18.97 20.31 19.89 18.36 4 19.85 18.92 18.72 16.14 20.28 18.71 6 20.39 21.8 19.52 21.27 21.12 18.59 24.31 26.29 20.08 19.36 23.02 18.85 22.9 25.42 21.27 17.82 27.48 22.95 19.28 22.04 15.67 18.84 18.7 23.39 B C Measurement of filling time in minutes for specimens of cloths A, B, and C from machines 1, 2, 3, ..., 9 in a certain plant gave the results shown below. You may assume that the model meets all assumptions necessary to perform ANOVA. Cloth 1 2 3 7 8 9 A A 18.76 21.18 21.18 19.1 21.74 18.99 B 20.69 23.2 16.85 20.16 22.68 23.59 19.77 23.94 20.75 21.49 21.9 18.61 Machine 5 22.28 20.45 18.97 20.31 19.89 18.36 4 19.85 18.92 18.72 16.14 20.28 18.71 6 20.39 21.8 19.52 21.27 21.12 18.59 24.31 26.29 20.08 19.36 23.02 18.85 22.9 25.42 21.27 17.82 27.48 22.95 19.28 22.04 15.67 18.84 18.7 23.39 B C