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:

\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.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §13.2 The F Distribution and the F-Ratio · Try It 1