The Following Data Shows the Yield, in Bushels Per Acre

question 174

Essay

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

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Definitions:

Control Group

A group in an experiment or study that does not receive the experimental treatment and is used as a benchmark to measure how the other tested subjects do.

Experimental Group

In research, a group of subjects who are exposed to the variable under investigation, as opposed to the control group which is not.

Comparisons

The act of evaluating two or more items to highlight their similarities and differences.

Deception

The extent to which the participants in a research project are unaware of the project or its goals.