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

question 46

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

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Definitions:

Advertising

The action of calling public attention to products, services, or events, typically through paid announcements by an identified sponsor.

Sales Promotion

Marketing strategies aimed at increasing sales in the short term through incentives such as discounts, coupons, or special offers.

Nonpersonal Communication

Refers to messages broadcasted to the general public through various media channels without personalized targeting.

Informative

Pertaining to or providing information; educational or enlightening.