Instruction 11-7
an Agronomist Wants to Compare the Crop Yield

question 121

True/False

Instruction 11-7
An agronomist wants to compare the crop yield of three varieties of chickpea seeds. She plants 15 fields, five with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomised design, the results are presented in the table that follows.
$\begin{array}{rrrr}\text { Trial}& \text { Smith }& \text { Walsh}& \text { Trevor }\\\hline1 & 11.1 & 19.0 & 14.6 \\2 & 13.5 & 18.0 & 15.7 \\3 & 15.3 & 19.8 & 16.8 \\4 & 14.6 & 19.6 & 16.7 \\5 & 9.8 & 16.6 & 15.2\end{array}$
-Referring to Instruction 11-7,the null hypothesis for the F test for the block effects should be rejected at a 0.01 level of significance.

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Definitions:

Chi-Squared Test

A statistical method employed to assess if the observed frequencies significantly differ from the expected frequencies across one or more categories.

Nominal Data

A type of categorical data for which the categories do not have a natural order or ranking.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it depends on the chosen significance level.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, usually set before the experiment.