Statistics

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In an experiment, you measure the popularity of two brands of soft drinks (factor A), and for each brand you test males and females (factor B). The following table shows the main effect and cell means from the study:

Factor A
Level A1: Level A2:
Brand X Brand Y



Level B1: 14 23
Males
Factor B_______________________________
Level B2: 25 12
Females

(a) Describe the graph of the interaction when factor A is on the X axis.(b) Does there appear to be an interaction effect? Why? (c) What are the main effect means and thus the main effect of changing brands? (d) What are the main effect means and thus the main effect of changing gender? (e) Why will a significant interaction prohibit you from making conclusions based on the main effects?

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