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

question 57

Multiple Choice

An agricultural scientist performs a 2-way ANOVA to determine the effects of three diffe soil mixtures on the sprouting time (in days) of three varieties of hybrid cucumber seeds. following MINITAB output presents the results.
Analysis of Variance for Sprouting
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 8.296296 & 4.148148 & 2.871795 & 0.082706 \\ \text { Hybrid Variety } & 2 & 2.074074 & 1.037037 & 0.717949 & 0.5012 \\ \text { Interaction } & 4 & 5.037037 & 1.259259 & 0.871795 & 0.499899 \\ \text { Error } & 18 & 26 & 1.444444 & & \\ \text { Total } & 26 & 41.407407 & & & \end{array}$
Can you reject the hypothesis of no interactions?

• A) No
• B) Yes

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Definitions:

Cirque

An open-sided, bowl-shaped depression formed in a mountain, commonly at the head of a glacial valley; produced by erosion of a glacier.

Depression

A geological formation resulting from the sinking of the Earth's surface, forming a bowl-like or flat area lower than the surrounding ground.

Valley

An elongated lowland between ranges of mountains or hills, often having a river or stream running along the bottom.

Ridge

On a weather map, an elongated area of high atmospheric pressure.