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.

Question

Quizplus · Accepted Answer

The P-value for the soil mixture is 0.029337, which is less than the significance level of 0.05, indicating that the soil mixture has a statistically significant effect on the sprouting time of the seeds.

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