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Instruction 11-8
an Agronomist Wants to Compare the Crop Yield

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Instruction 11-8
An agronomist wants to compare the crop yield of three varieties of chickpea seeds.She plants all three varieties of the seeds on each of five different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomised block design,the results are presented in the table that follows.
 Fields  Smith  Walsh  Trevor 111.119.014.6213.518.015.7315.319.816.8414.619.616.759.816.615.2\begin{array} { | l | l | l | l | } \hline \text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \\\hline 1 & 11.1 & 19.0 & 14.6 \\\hline 2 & 13.5 & 18.0 & 15.7 \\\hline 3 & 15.3 & 19.8 & 16.8 \\\hline 4 & 14.6 & 19.6 & 16.7 \\\hline 5 & 9.8 & 16.6 & 15.2 \\\hline\end{array}
-Referring to Instruction 11-8,what is the critical value of the randomised block F test for the difference in the means at a level of significance of 0.01?

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Definitions:

Parallelism

The relationship between two lines or surfaces that are equidistant from each other at all points.

Perpendicularity

A geometric tolerance that specifies the angle between two specified surfaces or features, requiring them to be exactly 90 degrees to each other.

Parallelism

The condition of being parallel; in engineering, the degree to which parts or surfaces are aligned or parallel to each other.

Angularity

Angularity is a measure of deviation or conformity to a specified angle, often critical in part and assembly to ensure proper alignment and function.

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