二、(50%)

1. (15%) Employees of MNM Corporation are about to undergo a retraining program. Management is trying to determine which of three programs is the best. They believe that the effectiveness of the programs may be influenced by sex. A factorial experiment was designed. You are given the following information.



Calculations: \( \sum \sum \sum y_{ijk}^{2} = 969800 \); \( \sum y_{i..}^{2} = 3,774,600 \); \( \sum y_{.j.}^{2} = 5,541,800 \); \( \sum y_{..k}^{2} = 1,922,600 \); SST=62,300