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TABLE 11-12
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 4 colors and 3 shapes to produce a total of 12 designs. Each logo was presented to 2 different groups (a total of 24 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the α = 0.05 level of significance for all inferences.
Analysis of Variance
Source df SS MS F p
Colors 3 2711.17 903.72 72.30 0.000
Shapes 2 579.00 289.50 23.16 0.000
Interaction 6 150.33 25.06 2.00 0.144
Error 12 150.00 12.50
Total 23 3590.50
-Referring to Table 11-12, the value of the statistic used to test for an interaction is ________.
Split-off Point
The split-off point in production is the stage at which multiple products are derived from a common process and can be identified or measured separately.
Joint Products
Two or more products that are generated from a common input or production process, where the costs before the split-off point are shared.
Manufacturing Process
The sequence of operations or procedures used to transform raw materials into finished goods or products.
Nonproductive Processing Time
Time during which no productive activity occurs, often due to maintenance, setup, or equipment downtime.
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