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

question 57

Multiple Choice

An agricultural scientist performs a 2-way ANOVA to determine the effects of three diffe soil mixtures on the sprouting time (in days) of three varieties of hybrid cucumber seeds. following MINITAB output presents the results.
Analysis of Variance for Sprouting
 Source  DF  SS  MS  F  P  Soil Mixture 28.2962964.1481482.8717950.082706 Hybrid Variety 22.0740741.0370370.7179490.5012 Interaction 45.0370371.2592590.8717950.499899 Error 18261.444444 Total 2641.407407\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 8.296296 & 4.148148 & 2.871795 & 0.082706 \\ \text { Hybrid Variety } & 2 & 2.074074 & 1.037037 & 0.717949 & 0.5012 \\ \text { Interaction } & 4 & 5.037037 & 1.259259 & 0.871795 & 0.499899 \\ \text { Error } & 18 & 26 & 1.444444 & & \\ \text { Total } & 26 & 41.407407 & & & \end{array}
Can you reject the hypothesis of no interactions?

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Definitions:

Natural Unemployment Rate

The lowest level of unemployment that an economy can sustain over the long term without causing inflation.

Frictional Unemployment

A type of unemployment that occurs when workers are between jobs, often due to searches for better positions or relocations.

Structural Unemployment

Unemployment caused by a mismatch between the skills or locations of job seekers and the requirements or locations of available jobs.

Full Employment

An instance in which all obtainable labor forces are deployed in the most economically advantageous way.

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