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

question 105

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 mean square for the interaction of color and shape is ________.

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Definitions:

Weightlifting Categories

The divisions within the sport of weightlifting, typically based on the athletes' body weight, to ensure fairness in competitions.

Weightlifters

Individuals who engage in the sport or activity of lifting weights as a form of physical exercise or in competitive events.

P-value

The probability of obtaining a test statistic at least as extreme as the one that was actually observed, under the assumption that the null hypothesis is true.

Productively

Relating to or in a manner that results in a significant output or contribution, especially in terms of work or economic activity.