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TABLE 11-12 The Marketing Manager of a Company Producing a New Cereal

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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.
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 ________.
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 ________.

Understand the procedures and criteria for termination in time-limited and ongoing groups.
Understand the concept and calculation of sensitivity in screening tests.
Understand the concept and calculation of specificity in screening tests.
Recognize the effects of sequential testing on net sensitivity.

Definitions:

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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