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16. 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 B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (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?

16. 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 B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (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?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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16. 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 B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (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?
Transcribed Image Text:16. 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 B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (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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