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TABLE 11-12 The Marketing Manager of a Company Producing a New Cereal

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TABLE 11-12
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.
TABLE 11-12 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.     Analysis of Variance Source df SS MS F p Colors 3 2711.17 903.72 72.30 0.000 Shapes 2 579.00 289.50 23.16 0.000 Interaction 6 150.33 25.06 2.00 0.144 Error 12 150.00 12.50 Total 23 3590.50 -Referring to Table 11-12, based on the results of the hypothesis test, it appears that there is a significant interaction.
Analysis of Variance
Source df SS MS F p
Colors 3 2711.17 903.72 72.30 0.000
Shapes 2 579.00 289.50 23.16 0.000
Interaction 6 150.33 25.06 2.00 0.144
Error 12 150.00 12.50
Total 23 3590.50
-Referring to Table 11-12, based on the results of the hypothesis test, it appears that there is a significant interaction.


Definitions:

Average Price Level

The average price level refers to the general level of prices for goods and services in an economy over a given period, often used as an indicator of inflation.

Monetary Policy

The process by which the central bank or monetary authority of a country controls the supply of money, often targeting an inflation rate or interest rate to ensure economic stability and growth.

Federal Reserve

The central bank of the United States, responsible for monetary policy, regulating banks, maintaining financial stability, and providing financial services.

Reserve Ratio

The fraction of depositors' balances that banks must have on hand as cash, a regulation set by central banks to ensure liquidity.

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