Instruction 11-12
the Marketing Manager of a Company Producing a New

question 46

Short Answer

Instruction 11-12
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the colour and shape of the box's logo on the approval rating of the cereal. He combined four colours and three shapes to produce a total of 12 designs. Each logo was presented to two different groups (a total of 24 groups) and the approval rating for each was recorded and is shown below. The manager analysed these data using the ? = 0.05 level of significance for all inferences.
$\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Colours }$
$\begin{array} { | r | c | c | c | c| } \hline \text { Shapes } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\\hline \text { Circle } & 54 & 67 & 36 & 45 \\\hline & 44 & 61 & 44 & 41 \\\hline \text { Square } & \mathbf { 3 4 } & 56 & 36 & 21 \\\hline & \mathbf { 3 6 } & 58 & 30 & \mathbf { 2 5 } \\\hline \text { Diamond } & 46 & \mathbf { 6 0 } & \mathbf { 3 4 } & \mathbf { 3 1 } \\\hline & 48 & \mathbf { 6 0 } & \mathbf { 3 8 } & \mathbf { 3 3 } \\\hline\end{array}$
-Referring to Instruction 11-12,the mean square for the factor colour is ________.

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Definitions:

Internal Factors

Influences that originate from within an individual, such as personality traits, emotions, and thoughts, affecting behavior and decision-making.

Self-Determination

The process by which a person controls their own life, particularly in relation to the goal of becoming autonomous and self-reliant.

Employee Engagement

The level of enthusiasm and dedication a worker has towards their job and company.

Customer Engagement

The process of creating a deeper, emotional connection between a business and its customers, encouraging ongoing interaction and loyalty.