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

question 36

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 11-6, the within group variation or SSW is____ .

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Definitions:

Auscultate

The process of hearing the body's internal noises, usually with the help of a stethoscope, during a medical check-up.

Noncontinent Urinary Diversion

A surgical procedure creating a way for urine to exit the body through a new pathway or stoma not controlled by the individual.

Mucus Shreds

Fragments of mucus, which may appear in stool or bodily excretions, often indicating inflammation or infection within the gastrointestinal tract.

Urine

A liquid by-product of metabolism in humans and many animals, expelled from the body through urination.