An instructor at the University of Lige, Belgium, teaches a class of 28 students. At the beginning

An instructor at the University of Liège, Belgium, teaches a class of 28 students. At the beginning of the semester, each student is randomly assigned to one of four teaching assistants—Lucas, Emma, Arthur, or Sofia. 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 the 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.

Transcribed Image Text:

Lucas 29 42 33 22 46 24 55 Emma 53 40 39 32 49 36 45 Arthur 23 34 24 43 30 27 31 Sofia 37 38 50 48 41 35 38