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

question 9

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
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 14 & 7 & 4.846154 & 0.020712 \\ \text { Hybrid Variety } & 2 & 8.222222 & 4.111111 & 2.846154 & 0.084331 \\ \text { Interaction } & 4 & 8.444444 & 2.111111 & 1.461538 & 0.255101 \\ \text { Error } & 18 & 26 & 1.444444 & & \\ \text { Total } & 26 & 56.666667 & & & \end{array}$
Can the mean effect of the hybrid variety be interpreted? If so, interpret the main effect. L $\alpha = 0.01$ level of significance.

• A) Yes. Do not reject \(H _ { 0 }\).
• B) Yes. Reject \(H _ { 0 }\).
• C) No.

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Definitions:

Market Price

The existing rate at which merchandise or services are exchanged in a commercial environment.

Losses

Situations where expenses exceed revenues, resulting in negative income.

Economic Profit

The variance between cumulative revenue and aggregate outlays, covering both manifest and concealed costs.

Competitive Market

A competitive market is one in which a large number of buyers and sellers interact, leading to goods and services being offered at market-determined prices with minimal barriers to entry or exit.