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

Question 78

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
 Source  DF  SS  MS  F  P  Soil Mixture 21474.8461540.020712 Hybrid Variety 28.2222224.1111112.8461540.084331 Interaction 48.4444442.1111111.4615380.255101 Error 18261.444444 Total 2656.666667\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 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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