The following data presents the scores obtained by $12$ students from $3$ different programmes in the same module.

$\backslash$table$[[$Programme$,$Scores$],[$Progamme $1(x_1),75,80,90,95],[$Progamme $2(x_2),80,85,89,90],[$Progamme $3(x_3),70,75,95,96]]$

A partially completed ANOVA table is given below.

$\backslash$table$[[$Source of Variation,df Sum of Squares,Mean Square $F$