Create an experiment design based on the principles discussed in tutorials to statistically show the effect of the growth rate of specific species of lemon tree is effected by the concentration of sulfur (S) and nitrogen (N) in a liquid fertiliser added to the irrigation water. Sufficient garden beds will be built for your design. The only factors to be tested are levels of sulfur and nitrogen in the liquid fertiliser. Your design should include sufficient replicates to yield a statistically significant result at 95% confidence level and 95% power. Initial tests showed

A. a standard deviation in the measurement of the growth rate per plant is 14 mm per day.

B. the precision in the measurement of growth rate per plant is 13 mm per day.

C. presence of sulfur or nitrogen in a liquid fertiliser at lowest concentration of the levels to be tested when applied to lemon trees changed the growth rate by 15.9 mm per day.

You have a limited supply of experimental material of 240 lemon trees.

Your experiment design should consider two non-zero levels of application for sulfur (S1 and S2) and three non-zero levels of nitrogen (N1, N2, N3) and other required levels.The design must investigate any interaction between the treatment factors.

Your experiment design should cover what is your experimental units and observational units. In a word document, draw a diagram of all the individual garden beds and the applications to the lemon trees in that garden bed and the number of plants in each garden bed receiving that application.

Your answer should discuss your design and how and why you made your decisions in terms of the two treatments and the initial data .