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

question 65

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 value of the statistic used to test for significant differences between colours is ________.

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Definitions:

Wine Distribution

The process of transporting wine from the manufacturer to various retail locations or directly to consumers.

Merger

The combination of two or more companies into a single entity, often to enhance competitiveness and efficiency.

Learning Curves

A phenomenon in which experience leads to learning meaning that current production lowers future costs.

Economies Of Scope

Cost advantages that enterprises obtain by producing a wide variety of products, rather than specializing in the production of a single product or a very few products.