(Solved): A factorial experiment involving two levels of factor \( \mathrm{A} \) and three levels of factor \ ...

A factorial experiment involving two levels of factor \( \mathrm{A} \) and three levels of factor \( \mathrm{B} \) resulted in the following data. Test for any significant main effects and any interaction. Use \( \alpha=0.05 \). Round Sum of Squares to the whole number, \( F \) value, Mean Square to two decimals, if necessary, and \( p \)-value to four decimals.