Experimental ecologists measured nitrate concentration (micromol per litre) and species richness of aquatic invertebrates at 8 ponds to investigate the effect of nutrient pollution. Data collected: Pond A 12.4, 22; B 8.7, 29; C 15.2, 18; D 5.6, 34; E 20.1, 15; F 9.3, 27; G 3.8, 38; H 16.5, 20. Each nitrate concentration measurement has an uncertainty of ± 0.2 micromol per litre. (a) Calculate the mean nitrate concentration and its standard deviation. (b) Calculate the mean species richness and its standard deviation. (c) Compute the Pearson correlation coefficient r between nitrate concentration and species richness and test whether the correlation is significantly different from zero at the 5% level using t = r sqrt[(n-2)/(1-r2)], with n = 8. Use two significant figures for r and give your conclusion. (d) Briefly suggest one plausible ecological explanation for the observed relationship and one improvement to the experiment to reduce uncertainty.
(a)Calculate the mean nitrate concentration (micromol per litre) and its sample standard deviation for the eight ponds. Give mean to 3 s.f. and SD to 2 s.f.(4)
(b)Calculate the mean species richness and its sample standard deviation for the eight ponds. Give mean to 3 s.f. and SD to 2 s.f.(4)
(c)Compute the Pearson correlation coefficient r between nitrate concentration and species richness and test whether the correlation is significantly different from zero at the 5% level using t = r sqrt[(n-2)/(1-r2)], with n = 8. Use two significant figures for r and give your conclusion.(6)
(d)Briefly suggest one plausible ecological explanation for the observed relationship and one improvement to the experiment to reduce uncertainty. (2 marks)(2)
(Total for Question 6 is 16 marks)