You are a conservation biologist studying the causes of population declines in sea turtles. You hypothesize that differences in decline rate might be driven, in part, by increased exposure to toxic compounds in the diets of some species. To test this you measure arsenic concentration (mg/kg) in the livers of Hawksbill turtles, which mainly feed on sponges, and loggerhead turtles that mainly eat algae and mollusks. Conduct the most powerful and appropriate statistical test, testing any assumptions before proceeding (and if necessary, alter your chosen test accordingly). State the most powerful test, the most appropriate test (based on the data and assumptions), the null and alternate hypotheses, calculate the test statistic, indicate the degrees of freedom and critical value, the P value, and conclusions with respect to the statistical and scientific hypotheses.