The Following Data Shows the Yield, in Bushels Per Acre

The following data shows the yield, in bushels per acre, categorized according to three varieties of corn and
three different soil conditions. 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. Use a 0.05 significance level. $$\begin{array} { c c c c } & \text { Plot 1 } & \text { Plot 2 } & \text { Plot 3 } \\\text { Variety 1 } & 156,167 , & 162,160 , & 145,151 , \\& 170,162 & 169,168 & 148,155 \\\text { Variety 2 } & 172,176 , & 179,186 , & 161,162 , \\& 166,179 & 160,176 & 165,170 \\\text { Variety 3 } & 175,157 , & 178,170 , & 169,165 , \\& 179,178 & 172,174 & 170,169\end{array}$$