The F Distribution and the F Ratio · Try It 1

As part of an experiment to see how different types of soil cover would affect slicing tomato production, Marist College students grew tomato plants under different soil cover conditions. Groups of three plants each had one of the following treatments:

• Bare soil
• A commercial ground cover
• Black plastic
• Straw
• Compost
All plants grew under the same conditions and were the same variety. Students recorded the weight in grams of tomatoes produced by each of the n = 15 plants, as seen in.

\begin{array}{|c|c|c|c|c|}\hline \text{Bare: n_1 = 3} & \text{Ground Cover: n_2 = 3} & \text{Plastic: n_3 = 3} & \text{Straw: n_4 = 3} & \text{Compost: n_5 = 3} \\ \hline \text{2,625} & \text{5,348} & \text{6,583} & \text{7,285} & \text{6,277} \\ \hline \text{2,997} & \text{5,682} & \text{8,560} & \text{6,897} & \text{7,818} \\ \hline \text{4,915} & \text{5,482} & \text{3,830} & \text{9,230} & \text{8,677} \\ \hline\end{array}

Create the one-way ANOVA table.

OpenStax, Statistics · §13.2 The F Distribution and the F Ratio · Try It 1