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

question 2

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?

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Definitions:

Breaking Strength

The amount of tension force a material can withstand without rupture, often measured to determine material durability and performance under stress.

Confidence Interval

A range of values derived from sample data that is likely to contain the true value of an unknown population parameter, at a given probability level.

Confidence Level

The probability, expressed as a percentage, that a confidence interval contains the true population parameter.

SAT Math

A section of the SAT exam that tests mathematical knowledge and skills, including algebra, geometry, data analysis, and problem-solving.