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

question 63

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 of the test for significant differences between colors is ________.

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Definitions:

Pulse

The rhythmic throbbing of the arteries as blood is propelled through them, typically felt in the wrists or neck.

Heart Beats

The rhythmic contraction and relaxation of the heart muscles that circulate blood throughout the body.

Tympanic Thermometer

A type of electronic thermometer that measures infrared energy emitted from the tympanic membrane.

Disposable Sheath

A protective cover designed to be used once and then discarded, often used to prevent contamination or infection.