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The Tastee Bakery Company supplies a bakery product to many supermarkets in a metropolitan area. The company wishes to study the effect of shelf display height employed by the supermarkets on monthly sales (measured in 10 unit cases). Shelf display height, the factor to be studied, has three levels - bottom (B), middle (M), and top (T) - which are the measurements. Let µB, µM, and uT represent the mean monthly sales when using the bottom, middle and top shelf display heights.
a) Perform a one-way ANOVA.
b) Test the null hypothesis that the mean monthly sales are equal by setting α = 0.05. On the basis of this, can we conclude that the bottom, middle and top shelf display heights have different effects on mean monthly sales?
Shelf Display Height
Bottom (B) Middle (M) Top (T)
58.2 73.0 52.4
53.7 78.1 49.7
55.8 75.4 50.9
55.7 76.2 54.0
52.5 78.4 52.1
58.9 82.1 49.9
b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y
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