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

question 138

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 an interaction is ________

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Definitions:

Emissions Tax

A tax imposed on the emission of pollutants, aimed at reducing environmental harm by incentivizing companies to lower their pollution levels.

Marginal Benefit

The further enjoyment or utility obtained when one more unit of a product or service is consumed.

Pollution

The existence or entry of a harmful or toxic material or object into the environment.

Polluters

Individuals or entities that introduce pollutants or contaminants into the environment, causing pollution.