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

question 53

Short Answer

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,the critical value of the test for significant differences between colours is ________.

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Definitions:

Thalamus

A critical structure within the brain that acts as a relay center, processing and transmitting sensory and motor signals to the cerebral cortex.

Cerebral Cortex

The cerebral cortex is the outer layer of the brain's cerebrum, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Autonomic Nervous System

The part of the peripheral nervous system that controls involuntary body functions like heartbeat and digestion.

Happiness

A state of well-being and contentment characterized by emotions ranging from contentment to intense joy.