2. [13 pts] In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. a. Complete the following ANOVA table. [7 pts] Source of Variation Sum of Squares Degrees of Freedom Mean Square F 1200 (2) (5) (7) Error (1) (3) (6) --- Total 1800 (4) --- --- Treatments (1) Write down the formula or concept calculating cell (1) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (2) Write down the formula or concept calculating cell (2) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (3) Write down the formula or concept calculating cell (3) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (4) Write down the formula or concept calculating cell (4) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (5) Write down the formula or concept calculating cell (5) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (6) Write down the formula or concept calculating cell (6) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ (7) Write down the formula or concept calculating cell (7) and complete the calculation: ______________________________________________________________________________ ______________________________________________________________________________ ______________ b. At = 0.05 level of significance, is there a significant difference between the treatments? Why? [6 pts] ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________ ______________________________________________________________________________ ______________________________________________________________________________ ______________