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

question 2

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 are the degrees of freedom of the Friedman rank test for the difference in the medians at a level of significance of 0.01?

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Definitions:

Estimated Cost

An approximation of the cost to produce goods or services, used for budgeting and planning.

Activity-Based Costing

A costing method that assigns overhead and indirect costs to related products and services based on their usage of the resources.

Materials Handling

The movement, protection, storage, and control of materials and products throughout manufacturing, warehousing, distribution, and disposal processes.

Estimated Manufacturing Overhead

The forecasted indirect costs associated with the production process, not directly tied to specific units.