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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 mean square for the factor shape is________.
-Referring to Instruction 11-12,the mean square for the factor shape is________.


Definitions:

Security Interest

A legal right or security interest on assets that have been offered as a guarantee, typically for the purpose of ensuring the repayment of borrowed money.

Secured Creditor

A lender that is granted a specific property interest as collateral for a loan, giving the creditor a right to repossess the property if the loan is defaulted.

Disposition

The act of transferring or disposing of an asset or property, or the manner in which someone is inclined to behave or feel.

Collateral

Assets pledged by a borrower to secure a loan or other credit, which the lender can seize if the borrower defaults.

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