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

question 63

Short Answer

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$$\quad$$\text { COLORS }$
$\begin{array} { l l l l l } \text { SHAPES } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\ \hline\text { Circle } & 54 & 67 & 36 & 45 \\ & 44 & 61 & 44 & 41 \\ \text { Square } & 34 & 56 & 36 & 21 \\ & 36 & 58 & 30 & 25 \\ \text { Diamond } & 46 & 60 & 34 & 31 \\ & 48 & 60 & 38 & 33 \end{array}$

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

-Referring to Table 11-9, the value of the statistic used to test for an interaction is____ .

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Definitions:

Job Satisfaction

The level of contentment employees feel towards their jobs, influenced by factors such as work environment, pay, and nature of the work.

Heritable

Qualities or features that are transmitted from parents to their children via genetic material.

Brain

The organ located in the skull of vertebrates that controls the nervous system, responsible for cognition, perception, consciousness, and memory.

Start and Stop Eating

The physiological and psychological processes that initiate and terminate food intake, influenced by signals of hunger and satiety.