A new analytical method to detect pollutants in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminates - organic pollutants, volatile solvents, and chlorinated compounds - instead of having to use a single test for each pollutant. The makers of the test claim that it can detect high levels of organic pollutants with 99.6% accuracy, volatile solvents with 99.91% accuracy, and chlorinated compounds with 89.4% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that the chlorinated compounds are present?
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- Arsenic is a naturally occurring chemical that can enter groundwater through eroding granite or from a burned forest. A health organization recommends drinking water should contain no more than 10 parts per billion (ppb) of arsenic. A company produces filters to clean arsenic from private wells that could be affected by the groundwater. The company wants to investigate the effectiveness of a new filter compared to that of an older filter. They will test the filters on a field that is bordered on one side by a granite ledge and on the other side by a burned forest. The field is divided into 88 square plots of equal size, and a well to collect groundwater is drilled in the center of each plot. One filter will be used in each well. The following diagram shows the placement of the wells in the field. The company will use four of each type of filter to conduct the investigation. A randomized block design will be used. (a) Assuming there is a difference in the effectiveness of the two…There are three types of contaminants that spoils water. Organic pollutants (0), volatile solvents (V), and chlorinated compounds (C). A new analytical method to detect (D) contaminants in water is being tested. The makers of the test claim that it can detect high levels of organic pollutants with 98% accuracy, volatile solvents with 99% accuracy, and chlorinated components with 89% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will not signal? (b) If the test signals, what is the probability that chlorinated compounds are present? (c) If the test does not signal, what is the probability that chlorinated compounds are present? Note: Use the notations in the brackets to describe the events.There are three types of contaminants that spoils water. Organic pollutants (O), volatile solvents (V), and chlorinated compounds (C). A new analytical method to detect (D) contaminants in water is being tested. The makers of the test claim that it can detect high levels of organic pollutants with 98% accuracy, volatile solvents with 99% accuracy, and chlorinated components with 89% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 65% of them are contaminated with organic pollutants, 20% with volatile solvents, and 15% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what the probability that volatile solvents are present? (c) If the test does not signal, what is the probability that chlorinated compounds are present? Note: Use the notations in the brackets to describe the events.
- The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 89.70% accuracy, and chlorinated compounds with 99.70% accuracy. If an algal bloom is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. Denote as follows: S = signal, O = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(CIS) = 0.1386 Ob.P(C|S) = 0.1184 OC. None among the…The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 99.70% accuracy, and chlorinated compounds with 89.70% accuracy. If an algal bloom is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. Denote as follows: S= signal, 0 = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(C|S) = 0.1184 O b. P(C|S) = 0.1386 O c. None among the…ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the output of the industrial plant. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile…
- ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the output of the industrial plant. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile…ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the output of the industrial plant. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile…ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the output of the industrial plant. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile…
- ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the output of the industrial plant. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile…Arsenic is a chemical element that occurs in many minerals, usually in conjunction with sulfur and metals, and also as a pure elemental crystal. The main use of metallic arsenic is for strengthening alloys of copper and lead. Unfortunately, arsenic occurs in some ground water. In large quantities it is toxic for multicellular life. A mean arsenic level of 8 particles per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested regularly for arsenic. A random sample 37 tests gave a sample mean of 7.2 ppb arsenic with standard deviation of 1.9 ppb. Assume that arsenic levels are normally distributed. We are to use the sample data and test if mean arsenic level in the well in question is less than 8 ppb. a. Test statistic isb. The ? − value of the test isc. At the significance level calculated in part c), we conclude that mean arsenic level in thewell isI want to summarize what is the most and least resistant to salinity?