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Lawn Fertilizer
to Test the Effectiveness of Three Different Types

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Lawn Fertilizer
To test the effectiveness of three different types of lawn fertilizer,each type was applied to six different lawns.The same size patch of lawn was mowed for all 18 test units and the grass clippings were weighed.The weight in pounds are shown in the following table.
 Fertilizer 1  Fertilizer 2  Fertilizer 3  Lawn 1 10.311.78.2 Lann 2 8.612.08.9 Lawn 3 8.29.310.7 Lawn 4 10.610.59.3 Lawn 5 9.19.810.4 Lawn 6 8.212.49.6\begin{array} { | c | c | c | c | } \hline & \text { Fertilizer 1 } & \text { Fertilizer 2 } & \text { Fertilizer 3 } \\\hline \text { Lawn 1 } & 10.3 & 11.7 & \mathbf { 8 . 2 } \\\hline \text { Lann 2 } & \mathbf { 8 . 6 } & 12.0 & \mathbf { 8 . 9 } \\\hline \text { Lawn 3 } & \mathbf { 8 . 2 } & 9.3 & 10.7 \\\hline \text { Lawn 4 } & 10.6 & 10.5 & 9.3 \\\hline \text { Lawn 5 } & 9.1 & 9.8 & 10.4 \\\hline \text { Lawn 6 } & \mathbf { 8 . 2 } & 12.4 & 9.6 \\\hline\end{array}
-Develop a randomized block design to test for the difference between the average number of customers per day between four different stores using α\alpha = 0.05 and using the days as the blocking variable.
Calculate the test statistic.


Definitions:

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Microscopic algae with silica shells, playing a crucial role in aquatic ecosystems as primary producers.

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A group of amoeboid protists, characterized by their intricate calcium carbonate shells, important in marine ecosystems and as indicators in the geological record.

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