Lawn Fertilizer
to Test the Effectiveness of Three Different Types

question 162

Essay

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.
$$\begin{array} { | c | c | c | c | } \hline & \text { Fertilizer 1 } & \text { Fertilizer 2 } & \text { Fertilizer 3 } \\\hline \text { Lawn 1 } & 10.3 & 11.7 & \mathbf { 8 . 2 } \\\hline \text { Lann 2 } & \mathbf { 8 . 6 } & 12.0 & \mathbf { 8 . 9 } \\\hline \text { Lawn 3 } & \mathbf { 8 . 2 } & 9.3 & 10.7 \\\hline \text { Lawn 4 } & 10.6 & 10.5 & 9.3 \\\hline \text { Lawn 5 } & 9.1 & 9.8 & 10.4 \\\hline \text { Lawn 6 } & \mathbf { 8 . 2 } & 12.4 & 9.6 \\\hline\end{array}$$
-Develop a randomized block design to test for the difference between the average number of customers per day between four different stores using $\alpha$ = 0.05 and using the days as the blocking variable.
State the decision rule in terms of the critical value.
What is your conclusion?

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Definitions:

Moral

Relating to principles of right and wrong in behavior, especially within the context of ethics or values.

ALS

Amyotrophic Lateral Sclerosis, a progressive neurodegenerative disease that affects nerve cells in the brain and the spinal cord, leading to muscle weakness and, eventually, loss of motor control.

Tuesdays

The day of the week following Monday and preceding Wednesday, without specific universal significance in culture, religion, or sociology.

Fridays

The day of the week between Thursday and Saturday, often associated with the start of the weekend in many cultures.