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. $$\begin{array}{l} \text { Analysis of Variance for Sprouting }\ \begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \ \text { Soil Mixture } & 2 & 6.740741 & 3.37037 & 2.275 & 0.131563 \ \text { Hybrid Variety } & 2 & 12.518519 & 6.259259 & 4.225 & 0.031306 \ \text { Interaction } & 4 & 11.703704 & 2.925926 & 1.975 & 0.141653 \ \text { Error } & 18 & 26.666667 & 1.481481 & & \ \text { Total } & 26 & 57.62963 & & & \end{array} \end{array}$$ Can the mean effect of the soil mixture be interpreted? If so, interpret the main effect. Use the $\alpha = 0$ level Of significance. A) Yes. Do not reject H₀. B) Yes. Reject H₀. C) No.

Question

Quizplus · Accepted Answer

The P-value for soil mixture is greater than 0.05, which means we fail to reject the null hypothesis H₀. Therefore, we cannot conclude that there is a significant difference in sprouting time among the soil mixtures. The mean effect of the soil mixture cannot be interpreted.

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