Question: Can we conduct a two-way ANOVA with interaction at = 5% to test the effects of brands, locations and interaction on sales for the

Can we conduct a two-way ANOVA with interaction at α = 5% to test the effects of brands, locations and interaction on sales for the below dataset describing the Number of soaps sold for different brands at different locations, collected over 20 days?

Loc Brand Qty Loc Brand Qty Loc Brand Qty 1 20 1 Y 28 1 32 20 2 Y 19 2 20 16 1 Y 23 1 29 21 Y 27 2 31 24 1 Y 

Loc Brand Qty Loc Brand Qty Loc Brand Qty 1 20 1 Y 28 1 32 20 2 Y 19 2 20 16 1 Y 23 1 29 21 Y 27 2 31 24 1 Y 25 1 28 23 2 23 2 35 20 1 Y 31 1 27 19 Y 30 2 25 X 19 1 Y 25 1 30 25 2 Y 25 2 31 X 10 1 Y 24 1 26 22 2 Y 21 2 31 X 24 1 Y 28 1 37 2 X 25 2 Y 33 2 31 1 X 16 1 Y 23 1 33 N N N N N N NN NNN N NN N > > > > > > > > > > > 2. 2.

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