Lead Levels in Drinking Water Analyses ofdrinking water
Chapter 9, Problem 23(choose chapter or problem)
Lead Levels in Drinking Water Analyses ofdrinking water samples for 100 homes in each of twodifferent sections of a city gave the following meansand standard deviations of lead levels (in parts permillion):Section 1 Section 2Sample Size 100 100Mean 34.1 36.0Standard Deviation 5.9 6.0a. Calculate the test statistic and its p-value to test fora difference in the two population means. Use thep-value to evaluate the statistical significance of theresults at the 5% level.b. Use a 95% confidence interval to estimate the differencein the mean lead levels for the two sectionsof the city.c. Suppose that the city environmental engineers willbe concerned only if they detect a difference ofmore than 5 parts per million in the two sections ofthe city. Based on your confidence interval in partb, is the statistical significance in part a of practicalsignificance to the city engineers? Explain.
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