SCENARIO 11-11
an Agronomist Wants to Compare the Crop Yield

question 255

Short Answer

SCENARIO 11-11
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. $\begin{array}{rrrr}\underline {\text { Fields }} &\underline {\text { Smith}}& \underline{\text {Walsh}}& \underline{\text {Trevor }}\\1&11.1 & 19.0 & 14.6 \\2&13.5 & 18.0 & 15.7 \\3&15.3 & 19.8 & 16.8 \\4&14.6 & 19.6 & 16.7 \\5&9.8 & 16.6 & 15.2\end{array}$
-Referring to Scenario 11-11, what is the critical value of the randomized block F test for the
difference in the means at a level of significance of 0.01?

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Definitions:

Mean

The sum of a collection of numbers divided by the count of numbers in the collection, also known as the average.

Statistical Process Control

A method used in quality control that employs statistical techniques to monitor and control a process, ensuring it operates at its full potential.

Type I Error

The incorrect rejection of a true null hypothesis, also known as a false positive.

Level Shift

A sudden and lasting change in the average value of a time series or signal.