An Agricultural Scientist Performs a 2-Way ANOVA to Determine the Effects

question 2

True/False

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different soil mixtures on the sprouting time (in days) of three varieties of hybrid cucumber seeds. The following MINITAB output presents the results. $$\begin{array}{l}\text { Analysis of Variance for Sprouting }\\\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Soil Mixture } & 2 & 24.074074 & 12.037037 & 5.909091 & 0.010644 \\\text { Hybrid Variety } & 2 & 5.851852 & 2.925926 & 1.436364 & 0.263779 \\\text { Interaction } & 4 & 20.37037 & 5.092593 & 2.5 & 0.079023 \\\text { Error } & 18 & 36.666667 & 2.037037 & & \\\text { Total } & 26 & 86.962963 & & &\end{array}\end{array}$$ Can you reject the hypothesis of no interactions?

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Definitions:

Parameter

A characteristic or constant factor that can be measured and used to describe a system or set the conditions of an experiment.

Statistic

A numerical value that represents a summary measure of a sample, used to estimate parameters of the population.

Commuting Distance

The distance that an individual travels from their home to their place of work or study.

Parameter

A numerical characteristic or measure that describes and summarizes a whole population.