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

question 103

True/False

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,based on the results of the hypothesis test,it appears that there is a significant effect on the approval rating associated with the colour of the logo.

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Definitions:

Enthalpy

A thermodynamic property representing the total heat content of a system, used to quantify the heat changes that occur in chemical reactions at constant pressure.

Entropy

A measure of the disorder or randomness in a system, often related to the number of available states a system can occupy.

% Conversion

The percentage indicating how much of the reactants have been transformed into products in a chemical reaction.

ΔG°

The change in standard Gibbs free energy during a chemical reaction, indicating spontaneity at standard conditions.