Consider the scenario in Example 3.1, and suppose that an investigator only has enough fertilizer A to use on four plots. Answer the following questions. 

a. What is the probability that an individual plot receives fertilizer A?

b. What is the probability of choosing the treatment assignment $\mathrm{A}, \mathrm{A}, \mathrm{A}, \mathrm{A}$, $\mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}$ ?

Data from Example 3.1

Is fertilizer A better than fertilizer B for growing wheat? It is decided to take one large plot of land and divide it into twelve smaller plots of land, then treat some plots with fertilizer A, and some with fertilizer B. How should we assign fertilizers (treatments) to plots of land (Table 3.2)?

Data from Table 3.2

Transcribed Image Text:

Plot 1, B, 11.4 Plot 2, A, 23.7 Plot 3, B, 17.9 Plot 4, A, 16.5 Plot 5, A, 21.1 Plot 6, A, 19.6 Plot 7, A, 26.9 Plot 8, B, 26.6 Plot 9, A, 25.3 Plot 10, B, 28.5 Plot 11, B, 14.2 Plot 12, B, 24.3