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

Question 48

Multiple Choice

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.  Analysis of Variance for Sprouting  Source  DF  SS  MS  F  P  Soil Mixture 216.5185198.2592595.4390240.014202 Hybrid Variety 22.0740741.0370370.6829270.517753 Interaction 46.8148151.7037041.1219510.377121 Error 1827.3333331.518519 Total 2652.740741\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 & 16.518519 & 8.259259 & 5.439024 & 0.014202 \\\text { Hybrid Variety } & 2 & 2.074074 & 1.037037 & 0.682927 & 0.517753 \\\text { Interaction } & 4 & 6.814815 & 1.703704 & 1.121951 & 0.377121 \\\text { Error } & 18 & 27.333333 & 1.518519 & & \\\text { Total } & 26 & 52.740741 & & &\end{array}\end{array} Can the mean effect of the hybrid variety be interpreted? If so, interpret the main effect. Use the α = 0.05 Level of significance.


A) Yes. Do not reject H0.
B) Yes. Reject H0.
C) No.

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