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

question 9

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
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 14 & 7 & 4.846154 & 0.020712 \\ \text { Hybrid Variety } & 2 & 8.222222 & 4.111111 & 2.846154 & 0.084331 \\ \text { Interaction } & 4 & 8.444444 & 2.111111 & 1.461538 & 0.255101 \\ \text { Error } & 18 & 26 & 1.444444 & & \\ \text { Total } & 26 & 56.666667 & & & \end{array}$
Can the mean effect of the hybrid variety be interpreted? If so, interpret the main effect. L $\alpha = 0.01$ level of significance.

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

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