Consider the experiment described in Exercise I 1.6.8. In addition to measuring the number of mayfly nymphs at the end of 12 days, stones of the same size were removed from each channel, and the algal ash free dry mass (mg/cm2) was measured for each of nine stones. These data produced SS(blocks) = 0.889. SS(within) = 0.444, and SS(total) = 2.889.
(a) Construct an ANOVA table similar to Table 11.6.4 to summarize these data.
(b) State the null and alternative hypotheses in words and in symbols.
(c) The F-value for the test is 0.0493. If α = 0.05, what is your conclusion regarding the null hypothesis?
(d) Can a causal conclusion be drawn from the analysis performed in part (b) based on these data? If so, what causal conclusion can be made? If not, explain why no causal conclusion is appropriate.