TABLE 11-10
an Agronomist Wants to Compare the Crop Yield

question 4

Multiple Choice

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Treating this as a randomized block design, the results are presented in the table that follows.
$$\begin{array} { l c c l } \underline{\text { Fields }} &\underline{ \text { Smith }} & \underline{\text { Walsh }} & \underline{\text { Trevor }} \\1 & 11.1 & 19.0 & 14.6 \\2 & 13.5 & 18.0 & 15.7 \\3 & 15.3 & 19.8 & 16.8 \\4 & 14.6 & 19.6 & 16.7 \\5 & 9.8 & 16.6 & 15.2\end{array}$$
-Referring to Table 11-10, what is the null hypothesis for the randomized block F test for the difference in the means?

• A) H₀ : µ Smith = µ Walsh = µ Trevor
• B) H₀ : M Field 1 = M Field 2 = M Field 3 = M Field 4 = M Field 5
• C) H₀ : µ Field 1 = µ Field 2 = µ Field 3 = µ Field 4 = µ Field 5
• D) H₀ : M Smith = M Walsh = M Trevor

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Definitions:

Constraints

Restrictions that limit the degree to which a manager can pursue an objective.

Corner Points

In linear programming, points at the corner of the feasible region that are potential solutions to the optimization problem.

Optimal Solution

The best possible outcome or answer to a problem, maximizing or minimizing the objective function within given constraints.

Constraints

Limitations or restrictions that affect the decision-making process or the execution of plans.