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# hw7 - Stat 511 Due 11am Monday Mar 7 Homework 7 Spring 2011...

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Stat 511 Homework 7 Spring 2011 Due: 11am, Monday Mar 7 1. Hazardous waste sites often contain multiple nasty chemicals. At one site in New Jersey, the state regulators needed to assess the correlation between the concentration of hexavalent Chromium, Cr +6 , and Antimony, Sb. Evaluating this correlation is complicated by the pres- ence of < detection limit values for both chemicals. The data in bootCr.txt contain 10,000 bootstrap estimates of the correlation and the variance in the correlation. These are derived using a maximum-likelihood estimator of the correlation and non-parametric bootstrap re- sampling. You do not need to estimate the correlation from a data set; I have done that and the bootstrap sampling for you. (a) Calculate the percentile bootstrap 99% confidence interval from these bootstrap samples. (b) Calculate the percentile-t bootstrap 99% confidence interval. (c) Which interval is the more appropriate to report?

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