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:

Mental Disorders

A broad range of conditions affecting mood, thinking, and behavior, often leading to distress or impaired functioning.

Risk Factor

An aspect or variable associated with an increased likelihood of developing a disease or injury.

Violence

Behavior involving force intended to hurt, damage, or kill someone or something.

Civilly Committed

A legal process by which individuals with certain mental illnesses or disorders can be mandated to receive treatment or care, typically in a secure facility, without their consent, for their own well-being and for public safety.