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:

Assignable Variation

Changes within a process stemming from particular causes, instead of occurring randomly.

Pooled Standard Deviation

A statistical measure used to estimate the standard deviation of two or more samples by combining variances in a weighted average.

Assignable Cause Variation

Variability in a process that can be traced to a specific reason or cause, often indicating issues that need correction.

Process Distribution

The distribution of outcomes or results from a specific process, indicating variability within the process.