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

Question 67

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 218.9629639.4814815.224490.01625 Hybrid Variety 27.629633.8148152.1020410.151202 Interaction 46.370371.5925930.8775510.496728 Error 1832.6666671.814815 Total 2665.62963\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Soil Mixture } & 2 & 18.962963 & 9.481481 & 5.22449 & 0.01625 \\ \text { Hybrid Variety } & 2 & 7.62963 & 3.814815 & 2.102041 & 0.151202 \\ \text { Interaction } & 4 & 6.37037 & 1.592593 & 0.877551 & 0.496728 \\ \text { Error } & 18 & 32.666667 & 1.814815 & & \\ \text { Total } & 26 & 65.62963 & & & \end{array}
Can the mean effect of the hybrid variety be interpreted? If so, interpret the main effect. L\mathrm { L } α=0.01\alpha = 0.01 level of significance.


A) Yes. Do not reject H0H _ { 0 } .
B) Yes. Reject H0H _ { 0 } .
C) No.

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