# Question: A manufacturer of cereal is considering three alternative box colors red

A manufacturer of cereal is considering three alternative box colors-red, yellow, and blue. To check whether such a consideration has any effect on sales, 16 stores of approximately equal size are chosen. Red boxes are sent to 6 of these stores, yellow boxes to 5 others, and blue boxes to the remaining 5. After a few days a check is made on the number of sales in each store. The results (in tens of boxes) shown in the following table were obtained. An instructor has a class of 23 students. At the beginning of the semester, each student is randomly assigned to one of four teaching assistants-Smiley, Haydon, Alleline, or Bland. The students are encouraged to meet with their assigned teaching assistant to discuss difficult course material. At the end of the semester, a common examination is administered. The scores obtained by students working with these teaching assistants are shown in the accompanying table.

a. Calculate the within-groups, between-groups, and total sum of squares.

b. Complete the analysis of variance table and test the null hypothesis of equality of population mean scores for the teaching assistants.

a. Calculate the within-groups, between-groups, and total sum of squares.

b. Complete the analysis of variance table and test the null hypothesis of equality of population mean scores for the teaching assistants.

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