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SCENARIO 11-9
the Marketing Manager of a Company Producing a New

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SCENARIO 11-9
The marketing manager of a company producing a new cereal aimed for children wants to examine
the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 4
colors and 3 shapes to produce a total of 12 designs. Each logo was presented to 2 different groups (a
total of 24 groups) and the approval rating for each was recorded and is shown below. The manager
analyzed these data using the α = 0.05 level of significance for all inferences. \quad \quad \quad \quad \quad \quad \quad \quad \quad COLORS\text {COLORS}
 SHAPES  Red  Green  Blue  Yellow  Circle 5467364544614441 Square 3456362136583025 Diamond 4660343148603833\begin{array}{r||cccc}\text { SHAPES } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\\hline \text { Circle } & 54 & 67 & 36 & 45 \\& 44 & 61 & 44 & 41 \\\text { Square } & 34 & 56 & 36 & 21 \\& 36 & 58 & 30 & 25 \\\text { Diamond } & 46 & 60 & 34 & 31 \\& 48 & 60 & 38 & 33\end{array}


Analysis of Variance\text {Analysis of Variance}
 Source df SS  MS Fp Colors 32711.17903.7272.300.000 Shapes 2579.00289.5023.160.000 Interaction 6 150.3325.062.000.144 Error 12150.0012.50 Total 233590.50\begin{array}{lrrrrc}\text { Source } & d f & {\text { SS }} & {\text { MS }} & {F} & p \\\hline \text { Colors } & 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 & & &\end{array}

-Referring to Scenario 11-9, based on the results of the hypothesis test, it appears
that there is a significant effect associated with the shape of the logo.


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Christian churches that originated from the Reformation, characterized by the rejection of papal authority and emphasising the importance of faith and scripture.

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An unconstitutional restriction refers to a law or regulation that infringes upon the rights guaranteed by the constitution.

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