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

question 108

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.
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 6.740741 & 3.37037 & 2.275 & 0.131563 \\ \text { Hybrid Variety } & 2 & 12.518519 & 6.259259 & 4.225 & 0.031306 \\ \text { Interaction } & 4 & 11.703704 & 2.925926 & 1.975 & 0.141653 \\ \text { Error } & 18 & 26.666667 & 1.481481 & & \\ \text { Total } & 26 & 57.62963 & & & \end{array}$
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.

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Definitions:

Mutual Interdependence

A situation in oligopoly markets where the actions of one firm significantly affect the outcomes and decisions of other competing firms.

Pricing Strategy

The approach a business takes to setting the price of its products or services, influenced by costs, competition, market demand, and other factors.

Kinked Demand

A market situation where a firm’s demand curve has a distinct bend, reflecting different elasticity above and below the market price.

Highly Concentrated Industry

An industry where a small number of firms hold a large market share, leading to reduced competition.