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.
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \ \text { Soil Mixture } & 2 & 6.740741 & 3.37037 & 2.275 & 0.131563 \ \text { Hybrid Variety } & 2 & 12.518519 & 6.259259 & 4.225 & 0.031306 \ \text { Interaction } & 4 & 11.703704 & 2.925926 & 1.975 & 0.141653 \ \text { Error } & 18 & 26.666667 & 1.481481 & & \ \text { Total } & 26 & 57.62963 & & & \end{array}$
Can the mean effect of the soil mixture be interpreted? If so, interpret the main effect. Us $\alpha = 0.05$ level of significance.
A) Yes. Do not reject $H _ { 0 }$.
B) Yes. Reject $H _ { 0 }$.
C) No.

Question

Quizplus · Accepted Answer

The p-value for the soil mixture is 0.131563, which is greater than the significance level of 0.05. This means there is not enough evidence to reject the null hypothesis, indicating that the soil mixture does not have a statistically significant effect on the sprouting time of the seeds.

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