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Instruction 11-12
the Marketing Manager of a Company Producing a New

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Instruction 11-12
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 ? = 0.05 level of significance for all inferences.
\quad \quad \quad \quad \quad \quad \quad \quad \quad  Colours \text { Colours }
 Shapes  Red  Green  Blue  Yellow  Circle 5467364544614441 Square 3456362136583025 Diamond 4660343148603833\begin{array} { | r | c | c | c | c| } \hline \text { Shapes } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\\hline \text { Circle } & 54 & 67 & 36 & 45 \\\hline & 44 & 61 & 44 & 41 \\\hline \text { Square } & \mathbf { 3 4 } & 56 & 36 & 21 \\\hline & \mathbf { 3 6 } & 58 & 30 & \mathbf { 2 5 } \\\hline \text { Diamond } & 46 & \mathbf { 6 0 } & \mathbf { 3 4 } & \mathbf { 3 1 } \\\hline & 48 & \mathbf { 6 0 } & \mathbf { 3 8 } & \mathbf { 3 3 } \\\hline\end{array}  Instruction 11-12 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 ? = 0.05 level of significance for all inferences.    \quad     \quad     \quad     \quad    \quad    \quad    \quad    \quad    \quad \text { Colours }   \begin{array} { | r | c | c | c | c| }  \hline \text { Shapes } & \text { Red } & \text { Green } & \text { Blue } & \text { Yellow } \\ \hline \text { Circle } & 54 & 67 & 36 & 45 \\ \hline & 44 & 61 & 44 & 41 \\ \hline \text { Square } & \mathbf { 3 4 } & 56 & 36 & 21 \\ \hline & \mathbf { 3 6 } & 58 & 30 & \mathbf { 2 5 } \\ \hline \text { Diamond } & 46 & \mathbf { 6 0 } & \mathbf { 3 4 } & \mathbf { 3 1 } \\ \hline & 48 & \mathbf { 6 0 } & \mathbf { 3 8 } & \mathbf { 3 3 } \\ \hline \end{array}    -Referring to Instruction 11-12,the critical value in the test for significant differences between shapes is ________.
-Referring to Instruction 11-12,the critical value in the test for significant differences between shapes is ________.


Definitions:

Monthly Sales

The total revenue generated from sales activities during a month.

Dollar Sales

The total value of all sales in dollars over a specific period of time.

Target Profit

The target net earnings a corporation plans to reach within a certain timeframe as an integral aspect of its financial and business objectives.

Unit Sales

The quantity of products sold, measured in units, without considering the revenue generated from those sales.

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