Contaminated water: Polychlorinated biphenyls (PCBs) are a group of synthetic oil-like chemicals that were at one time

Question:

Contaminated water: Polychlorinated biphenyls (PCBs) are a group of synthetic oil-like chemicals that were at one time widely used as insulation in electrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s.

Assume that water samples are being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 60 has a sample mean of 1.96 parts per billion (ppb). Assume the population standard deviation is σ = 0.35 ppb.

a. Construct a 98% confidence interval for the PCB concentration.

b. EPA standards require that the PCB concentration in drinking water be no more than 0.5 ppb. Based on the confidence interval, is it Page 428 reasonable to believe that this water meets the EPA standard for drinking water? Explain.

c. Estimate the sample size needed so that a 98% confidence interval will have a margin of error of 0.03.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Elementary Statistics

ISBN: 9781264136407

4th Edition

Authors: William Navidi , Barry Monk

Question Posted: