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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 mean square for the interaction of color and shape is ________.
Cognitive Dissonance
A psychological state in which an individual experiences discomfort due to holding contradictory beliefs or attitudes, often leading to an alteration in one of the conflicting cognitions.
Mid-Level
Pertains to a position, status, or area that is in between the highest and the lowest levels, often implying a moderate degree of complexity or authority.
Grand
Large, magnificent, or impressive in size, appearance, or style.
Parsimonious
Describing an explanation or theory that is simple and lacks unnecessary elements, often preferred for its efficiency and effectiveness in problem-solving.
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