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

question 94

Short Answer

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 significant differences between colors is ________.

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Definitions:

Interact

To communicate or act together in a way that affects or influences each other, often used in reference to individuals or systems.

Robert Louis Stevenson

A Scottish novelist, poet, and travel writer, famous for works like Treasure Island and Strange Case of Dr Jekyll and Mr Hyde.

Lives

The existence of individuals or organisms characterized by growth, reproduction, and the capacity for change and adaptation in their environment.

Selling

The act of exchanging a product or service for money or other compensation.