Problem Definition/Research Objective: The operations manager for a soft drink distributor is interested in obtaining a more uniform/consistent fill height in the bottles filled during the bottling process at the distributions center. Supposedly, available machinery fills each bottle to the correct level, but in practice, there is variation around the specified target.
Typically, 25 psi is desirable for the equipment on hand. Two additional variables may affect the variation associated with the filling process: percent carbonation (10% or 12%) and or line speed (either 210, 240, 270, or 300 bottles per minute).
Use Two ANOVA to determine if percent carbonation (Factor 1 and Line Speed Factor 2) have effect on variation in bottle fill.
The response variable is: Deviations/variation from specified target fill in millimeters.
Factor 1 is percent carbonation Factor 2 is Line Speed
Note: In this case higher mean deviation does not represent the optimal result. Deviation is the "miss" from the desired fill height.
Complete the following for the two-way ANOVA. The finished report should contain the following in the order specified:
Test Assumptions first
Complete a six-step process to determine if the variances of the eight cell combinations of Line Speed and Carbonation on Bottle fill height are equal. Use p-values to test hypothesis of equal variances. Remember, there is one variance per cell (combination of per treatment of Percent Carbonation and Line Speed on Bottle Fill). *Hint: Eight cells require eight variances.
