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Math · Statistics And Probability
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what are the degrees of freedom for the factors shapes and the interaction?

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 boxs logo on the approval rating of the cereal. He combined 3 colors and 2 shapes to produce a total of 6 designs. Each logo was presented to 3 different groups (a total of 18 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the a 0.05 level of significance for all inferences and a partially completed 2-way ANOVA table is also provided below COLORS Red Green Blue 67 61 64 56 54 44 49 34 36 40 Circle SHAPES 36 square 36 57 33 30 35 58 Analysis of Variance Source Shapes Colors Interaction Error Total MSF 1897.00 49.00 122.00 2460.00
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