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TABLE 11-9
the Marketing Manager of a Company Producing a New

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TABLE 11-9
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 ? = 0.05 level of significance for all inferences.
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  COLORS \text { COLORS }
 SHAPES  Red  Green  Blue  Yellow  Circle 5467364544614441 Square 3456362136583025 Diamond 4660343148603833\begin{array} { l l l l l } \text { SHAPES } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\ \hline\text { Circle } & 54 & 67 & 36 & 45 \\ & 44 & 61 & 44 & 41 \\ \text { Square } & 34 & 56 & 36 & 21 \\ & 36 & 58 & 30 & 25 \\ \text { Diamond } & 46 & 60 & 34 & 31 \\ & 48 & 60 & 38 & 33 \end{array}

 Analysis of Variance \text { Analysis of Variance }
 Source dfSS MS Fp Colors 32711.17903.7272300.000 Shapes 2579.00289.5023.160.000 Interaction 6150.3325.062.000.144 Error 12150.0012.50 Total 233590.50\begin{array}{lrcrrr}\hline \text { Source } & d f & {S S} & {\text { MS }} & {F} & p \\\hline \text { Colors } & 3 & 2711.17 & 903.72 & 7230 & 0.000 \\\text { Shapes } & 2 & 579.00 & 289.50 & 23.16 & 0.000 \\\text { Interaction } & 6 & 150.33 & 25.06 & 2.00 & 0.144 \\\text { Error } & 12 & 150.00 & 12.50 & & \\\text { Total } & 23 & 3590.50 & & &\end{array}

-Referring to Table 11-9, the mean square for the factor color is____ .

Understand the impact of scientific research on the development of governmental policy.
Recognize the influence of economic or political interests on natural science research and its implications.
Grasp the significance of comprehensive, testable, and consistent scientific theories.
Understand the principle of testability in scientific theories.

Definitions:

Service Products

Intangible goods provided to consumers, such as healthcare, education, and financial advising, which cannot be physically possessed.

External Product Development

The process where a company outsources product development activities to external partners.

Development Strategies

Comprehensive plans or methodologies aimed at achieving long-term goals, such as economic growth, product innovation, or market expansion.

Service Design

The activity of planning and organizing a company's resources, infrastructure, communication, and materials to improve its service quality.

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