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

question 5

Short Answer

SCENARIO 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 α = 0.05 level of significance for all inferences. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text {COLORS}$
$\begin{array}{r||cccc}\text { SHAPES } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\\hline \text { Circle } & 54 & 67 & 36 & 45 \\& 44 & 61 & 44 & 41 \\\text { Square } & 34 & 56 & 36 & 21 \\& 36 & 58 & 30 & 25 \\\text { Diamond } & 46 & 60 & 34 & 31 \\& 48 & 60 & 38 & 33\end{array}$


$\text {Analysis of Variance}$
$\begin{array}{lrrrrc}\text { Source } & d f & {\text { SS }} & {\text { MS }} & {F} & p \\\hline \text { Colors } & 3 & 2711.17 & 903.72 & 72.30 & 0.000 \\\text { Shapes } & 2 & 579.00 & 289.50 & 23.16 & 0.000 \\\text { Interaction 6 } & 150.33 & 25.06 & 2.00 & 0.144 \\\text { Error } & 12 & 150.00 & 12.50 & & \\\text { Total } & 23 & 3590.50 & & &\end{array}$

-Referring to Scenario 11-9, the value of the statistic used to test for significant differences
between shapes is ________.

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Definitions:

Similar Products

Goods or services that meet the same needs or wants of consumers as other items in the marketplace, often leading to competition.

Routing Reports

Documents or systems that provide detailed information about the paths or processes taken by goods during distribution.

Overnight Travel

Travel that requires staying away from home for at least one night, often for business or work-related purposes.

Sales Manager

An individual who directs an organization's sales team, oversees sales operations, and is responsible for achieving sales targets.