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

question 74

Short Answer

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.
$$\begin{array} { | l | l | l | l | } \hline \text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \\\hline 1 & 11.1 & 19.0 & 14.6 \\\hline 2 & 13.5 & 18.0 & 15.7 \\\hline 3 & 15.3 & 19.8 & 16.8 \\\hline 4 & 14.6 & 19.6 & 16.7 \\\hline 5 & 9.8 & 16.6 & 15.2 \\\hline\end{array}$$
-Referring to Instruction 11-8,using an overall level of significance of 0.01,what is the critical range for the Tukey multiple comparison procedure?

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Definitions:

Standard Normal Distribution

A probability distribution that has a mean of zero and a standard deviation of one, used as a basis in inferential statistics.

Probability

A measure of the likelihood that a specific event will occur, often expressed as a number between 0 and 1.

Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1.

Random Variable

A variable that can take on different numerical values based on the outcome of a random event.