An amateur biologist has read that the lifespans of mammals are related to their metabolic rates. The relation, if any, is not linear, so she will test the claim based on the rank correlation coefficient. She begins by randomly selecting six species, and then recording their maximum lifespans and their typical metabolic rates (see Data Set 19 in Appendix B for more details). Is there a significant correlation between these variables?

Use the rank correlation coefficient to test the claim of no correlation between the two variables. Use a significance level of α = 0.05.

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Metabolic rate 0.6 0.91.3 1.4 Maximum life 70 45 11 36 115 20 3.5 0.3