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

question 4

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. $$\begin{array}{l}\text { Analysis of Variance for Sprouting }\\\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Soil Mixture } & 2 & 16.518519 & 8.259259 & 5.439024 & 0.014202 \\\text { Hybrid Variety } & 2 & 2.074074 & 1.037037 & 0.682927 & 0.517753 \\\text { Interaction } & 4 & 6.814815 & 1.703704 & 1.121951 & 0.377121 \\\text { Error } & 18 & 27.333333 & 1.518519 & & \\\text { Total } & 26 & 52.740741 & & &\end{array}\end{array}$$ Can the mean effect of the hybrid variety be interpreted? If so, interpret the main effect. Use the α = 0.05 Level of significance.

• A) Yes. Do not reject H₀.
• B) Yes. Reject H₀.
• C) No.

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Definitions:

Common Stock

An investment vehicle that indicates a partial ownership stake in a corporation, offering the investor voting privileges and a fraction of the company's profits in the form of dividends.

Par Value

The stated or par value of a bond, stock share, or coupon as indicated by the issuing entity.

Shares

Units of ownership interest in a corporation or financial asset, providing a share in profits and an entitlement to company assets and dividends.

Total Stockholders' Equity

The net value of a company, calculated as total assets minus total liabilities.