Instruction 11-10
the Marketing Manager of a Company Producing a New

question 19

True/False

Instruction 11-10
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 α = 0.05 level of significance for all inferences.
$$\begin{array}{l}\text { COLOURS }\\\begin{array} { | r | | c | c | c | c | } \hline \text { SHAPES } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\\hline \hline \text { Circle } & 54 & 67 & 36 & 45 \\\hline & 44 & 61 & 44 & 41 \\\hline \text { Square } & 34 & 56 & 36 & 21 \\\hline & 36 & 58 & 30 & 25 \\\hline \text { Diamond } & 46 & 60 & 34 & 31 \\\hline & 48 & 60 & 38 & 33 \\\hline\end{array}\end{array}$$ $$\begin{array}{l}\text { Analysis of Variance }\\\begin{array} { l r r r r c } \hline \text { Source } & d f & { \text { SS } } & { \text { MS } } & { F } & p \\\hline \text { Colours } & 3 & 2711.17 & 903.72 & 72.30 & 0.000 \\\text { Shapes } & 2 & 579.00 & 289.50 & 23.16 & 0.000 \\\text { Interaction } & 6 & 150.33 & 25.06 & 2.00 & 0.144 \\\text { Error } & 12 & 150.00 & 12.50 & & \\\text { Total } & 23 & 3590.50 & & & \\\hline\end{array}\end{array}$$
-Referring to Instruction 11-10,based on the results of the hypothesis test,it appears that there is a significant interaction.

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Definitions:

Festinger

Leon Festinger was a social psychologist known for his theory of cognitive dissonance, which describes the discomfort felt when holding conflicting beliefs, attitudes, or behaviors.

Psychology Text

A written or digital publication concerning the study of the mind and behavior, often used for educational purposes.

Cognitive Dissonance

A psychological state that describes the uncomfortable feeling when a person holds two or more conflicting cognitions, beliefs, attitudes, or values at the same time.

Operant Conditioning

A type of learning in which the consequences of behavior are manipulated so as to increase or decrease the frequency of an existing response or to shape an entirely new response.