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

question 51

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 mean square for the factor shape is ________.

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Definitions:

Price

The amount of money required to purchase a good, service, or resource.

Opportunity Cost

The cost of forgoing the next best alternative when making a decision, representing the benefits one could have received by choosing differently.

Pizza

A popular dish of Italian origin, consisting of a flat, round base of dough baked with a topping of tomato sauce and cheese, often with added meat, fish, or vegetables.

Beer

An alcoholic beverage made from barley, hops, water, and yeast through a fermentation process.