The Following Data Shows the Yield,in Bushels Per Acre,categorized According $\quad\quad\quad\quad\quad\quad\quad Plot 1 \quad\quad\quad\quad\quad Plot 2 \quad\quad\quad\quad\quad\quad Plot 3$

Essay

The following data shows the yield,in bushels per acre,categorized according to three varieties of corn and three different soil conditions (Plot 1,Plot 2,and Plot 3).Assume that yields are not affected by an interaction between variety and soil conditions,and test the null hypothesis that variety has no effect on yield and that soil conditions have no effect on yield.Use a 0.05 significance level. $\quad\quad\quad\quad\quad\quad\quad Plot 1 \quad\quad\quad\quad\quad Plot 2 \quad\quad\quad\quad\quad\quad Plot 3$
Variety $1 \quad 156,167,170,162 \quad 162,160,169,168 \quad 145,151,148,155$
Variety $2 \quad 172,176,166,179 \quad 179,186,160,176 \quad 161,162,165,170$
Variety $3 \quad 175,157,179,178 \quad 178,170,172,174 \quad 169,165,170,169$