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

question 205

Short Answer

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, the critical value in the test for a significant interaction is ________.

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Definitions:

GMO

Genetically Modified Organisms; organisms whose genetic material has been altered using genetic engineering techniques.

Agricultural Application

The use of various techniques, tools, and materials in farming and crop production to increase efficiency and productivity.

Glyphosate

A broad-spectrum systemic herbicide used to kill weeds, especially annual broadleaf weeds and grasses that compete with crops.

DNA Cloning

Set of methods that uses living cells to mass-produce targeted DNA fragments.