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. $$\begin{array} { c | c c c } & \text { Plot 1 } & \text { Plot 2 } & \text { Plot 3 } \\\hline \text { Variety 1 } & 156,167 , & 162,160 , & 145,151 , \\& 170,162 & 169,168 & 148,155 \\\text { Variety 2 } & 172,176 , & 179,186 , & 161,162 , \\& 166,179 & 160,176 & 165,170 \\\text { Variety 3 } & 175,157 , & 178,170 , & 169,165 , \\& 179,178 & 172,174 & 170,169\end{array}$$