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Poplar Tree Experiment Weights (kg) of poplar trees were

Chapter 12, Problem 2RE

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QUESTION:

Poplar Tree Experiment Weights (kg) of poplar trees were obtained from trees planted in one region that was rich and moist and a second region that was sandy and dry. The trees were given different treatments as identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc.? the Minitab results are displayed. What do you conclude?

MINITAB

\(\begin{array}{|lrrrrrr|} \hline \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Site } & 1 & \mathbf{0 . 2 7 2 2} & 0.27225 & 0.81 & 0.374 \\ \text { Treatment } & 3 & \mathbf{7 . 5 4 7 0} & 2.51567 & \mathbf{7 . 5 0} & 0.001 \\ \text { Interaction } & 3 & \mathbf{0 . 1 7 1 6} & \mathbf{0 . 0 5 7 2 1} & 0.17 & 0.915 \\ \text { Error } & 32 & \mathbf{1 0 . 7 2 6 7} & 0.33521 & & \\ \text { Total } & 39 & \mathbf{1 8 . 7 1 7 6} & & & \\ \hline \end{array}\)

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QUESTION:

Poplar Tree Experiment Weights (kg) of poplar trees were obtained from trees planted in one region that was rich and moist and a second region that was sandy and dry. The trees were given different treatments as identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc.? the Minitab results are displayed. What do you conclude?

MINITAB

\(\begin{array}{|lrrrrrr|} \hline \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Site } & 1 & \mathbf{0 . 2 7 2 2} & 0.27225 & 0.81 & 0.374 \\ \text { Treatment } & 3 & \mathbf{7 . 5 4 7 0} & 2.51567 & \mathbf{7 . 5 0} & 0.001 \\ \text { Interaction } & 3 & \mathbf{0 . 1 7 1 6} & \mathbf{0 . 0 5 7 2 1} & 0.17 & 0.915 \\ \text { Error } & 32 & \mathbf{1 0 . 7 2 6 7} & 0.33521 & & \\ \text { Total } & 39 & \mathbf{1 8 . 7 1 7 6} & & & \\ \hline \end{array}\)

ANSWER:

Step 1 of 3

Given:

Weights (kg) of poplar trees were obtained from trees planted in two different regions:

Site 1: Rich and moist soil

Site 2: Sandy and dry soil

The trees received different treatments as identified in the table:

1. No Treatment

2. Fertilizer

3. Irrigation

4. Fertilizer and Irrigation

The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc.

\(\begin{array}{|l|l|l|l|l|l|} \hline \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \hline \text { Site } & 1 & 0.2722 & 0.27225 & 0.81 & 0.374 \\ \hline \text { Treatment } & 3 & 7.547 & 2.51567 & 7.5 & 0.001 \\ \hline \text { Interaction } & 3 & 0.1716 & 0.05721 & 0.17 & 0.915 \\ \hline \text { Error } & 32 & 10.7267 & 0.33521 & & \\ \hline \text { Total } & 39 & 18.7176 & & & \\ \hline \end{array}\)

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