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

question 128

True/False

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
$$\begin{array}{l}\text { Analysis of Variance for Sprouting }\\\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Soil Mixture } & 2 & 24.074074 & 12.037037 & 5.909091 & 0.010644 \\\text { Hybrid Variety } & 2 & 5.851852 & 2.925926 & 1.436364 & 0.263779 \\\text { Interaction } & 4 & 20.37037 & 5.092593 & 2.5 & 0.079023 \\\text { Error } & 18 & 36.666667 & 2.037037 & & \\\text { Total } & 26 & 86.962963 & & &\end{array}\end{array}$$ Can you reject the hypothesis of no interactions?

---

Definitions:

Standard Hours Allowed

The amount of time that should be spent to produce a certain amount of goods or services, according to predetermined standards.

Overhead Volume Variance

A measure used in cost accounting to determine the difference between the allocated overhead costs and the actual overhead costs incurred.

Fixed Overhead Rate

A predetermined rate used to assign fixed overhead costs to cost objects, based on a specific activity level or base.

Normal Capacity Hours

The amount of production capability a company can expect to achieve under normal circumstances over a specific period.