The Following Data Shows the Yield, in Bushels Per Acre

question 109

Essay

The following data shows the yield, in bushels per acre, categorized according to three varieties of corn and
three different soil conditions. Test the null hypothesis of no interaction between variety and soil conditions at a
significance level of 0.05. $$\begin{array} { c c c c } & \text { Plot 1 } & \text { Plot 2 } & \text { Plot 3 } \\\text { Variety 1 } & 156,167 , & 162,160 , & 145,151 , \\& 170,162 & 169,168 & 148,155 \\\text { Variety 2 } & 172,176 , & 179,186 , & 161,162 , \\& 166,179 & 160,176 & 165,170 \\\text { Variety 3 } & 175,157 , & 178,170 , & 169,165 , \\& 179,178 & 172,174 & 170,169\end{array}$$

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Definitions:

Bratwursts

A type of German sausage made from pork, beef, or sometimes veal, known for its flavor and seasoning.

Budget Constraint

A limit on the consumption possibilities of an individual or entity, dictated by their income and the prices of goods and services.

Nachos

A popular dish consisting of heated tortilla chips covered with melted cheese and often additional toppings such as jalapeños, guacamole, or sour cream.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is essential for all known forms of life and is used in many industrial processes.