In: Math
A plant physiologist investigated the effect of flooding on root metabolism in two tree
species: flood-tolerant river birch and the intolerant European birch. Four seedlings of
each species were flooded for one day, and four were used as controls. The concentration
of adenosine triphosphate (ATP) in the roots of each plant was measured. The data (nmol
ATP per mg tissue) as shown in the table.
River birch European Birch
Flooded Control Flooded Control
1.45 |
1.70 | 0.21 | 1.34 | |
1.19 | 2.04 | 0.58 | 0.99 | |
1.05 | 1.49 | 0.11 | 1.17 | |
1.07 | 1.91 | 0.27 | 1.30 | |
Mean | 1.19 | 1.785 | 0.2925 | 1.20 |
For these data, SS(species of birch)=2.19781, SS(flooding)=2.25751, SS(interaction)=0.097656,
and SS(within)=0.47438.
i. Construct the ANOVA table, include p-values.
iii. What is the F test statistic and its degrees of freedom for testing that species has no
effect on ATP concentration?