Instruction 19-7
an Agronomist Wants to Compare the Crop Yield

question 14

Short Answer

Instruction 19-7
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.
$$\begin{array} { | l | l | l | l | } \hline 1 e l d s & \text { Smith } & \text { Walsh } & \text { Trevor } \\\hline 1 & 11.1 & 19.0 & 14.6 \\\hline 2 & 13.5 & 18.0 & 15.7 \\\hline 3 & 15.3 & 19.8 & 16.8 \\\hline 4 & 14.6 & 19.6 & 16.7 \\\hline 5 & 9.8 & 16.6 & 15.2 \\\hline\end{array}$$ Below is the Minitab output of the Friedman rank test:
Friedman Test: Yield versus Varieties, Fields
Friedman test for Yield by Varieties blocked by Fields
$\mathrm { S } = 10.00 \mathrm { DF } = 2 \mathrm { P } = 0.007$
$\begin{array} { l l l l } & & \text { Est } & \text { Sum of } \\ \text { Varieties } & \mathrm { N } & \text { Median } & \text { Ranks } \\\\\text { Smith } & 5 & 13.500 & 5.0 \\ \text { Trevor } & 5 & 15.667 & 10.0 \\ \text { Walsh } & 5 & 18.533 & 15.0 \end{array}$
Grand median = 15.900
-Referring to Instruction 19-7,what is the critical value of the Friedman rank test for the difference in the medians at a level of significance of 0.01?

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Definitions:

Political Climates

The overall mood, attitudes, and conditions within a political environment or sphere.

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An employee's psychological attachment to their organization, influencing their willingness to continue working there.

Turnover Intentions

The self-reported likelihood that an individual will leave their current job or position within a certain timeframe.

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Refers to the ability to understand and influence others in a way that promotes personal or organizational objectives.