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

question 12

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
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 16.962963 & 8.481481 & 4.320755 & 0.029337 \\ \text { Hybrid Variety } & 2 & 3.185185 & 1.592593 & 0.811321 & 0.45987 \\ \text { Interaction } & 4 & 13.925926 & 3.481481 & 1.773585 & 0.178159 \\ \text { Error } & 18 & 35.333333 & 1.962963 & & \\ \text { Total } & 26 & 69.407407 & & & \end{array}$
Can the mean effect of the soil mixture be interpreted? If so, interpret the main effect. Usi $\alpha = 0.05$ level of significance.

• A) Yes. Reject \(H _ { 0 }\).
• B) Yes. Do not reject \(H _ { 0 }\).
• C) No.

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