The convict surgeonfish is a common tropical reef fish that has been found to delay metamorphosis into adult by extending its larval phase. This delay often leads to enhanced survivorship in the species by increasing the chances of finding suitable habitat. In the paper "Delayed Metamorphosis of a Tropical Reef Fish (Acanthurus triostegus): A Field Experiment" (Marine Ecology Progress Series, Vol. 176, pp. 25-38), M. McCormick published data that he obtained on the larval duration, in days, of 90 convict surgeonfish. The data are given on the Weiss-Stats site. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean larval duration of convict surgeonfish exceeds 52 days?

(a). Employ the Wilcoxon signed-rank test.

(b). Employ the t-test.

(c). Compare your results from parts (a) and (b).