We introduced for the two-way analysis of variance the population model

For the data of Exercise 15.33, obtain sample estimates for each term on the right-hand side of this equation for the east region–red can combination.

Data From Problem Exercise 15.33

A diet soda manufacturer wants to compare the effects on sales of three can colors—red, yellow, and blue. Four regions are selected for the test, and three stores are randomly chosen from each region, each to display one color of cans. The accompanying table shows sales (in tens of cans) at the end of the experimental period.

a. Prepare the appropriate analysis of variance table.
b. Test the null hypothesis that population mean sales are the same for each can color.

Transcribed Image Text:

Xij- μ = G₁ + B₁ + Eij н