### MATH 1308 Q12

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1. The federal government restricts the maximum allowable level of benzene(a possible carcinogen) in the workplace to 1 part per million (ppm). A steel manufacturing plant is suspected of exceeding this limit on a regular basis. Twenty-two air samples, collected over a period of one month and examined for benzene content, yield an average level of 1.9 ppm with an SD of 1.5 ppm. (We ultimately wish to find out if the plant is in violation of the federal standards.) What is the expected value for the average?

2. The federal government restricts the maximum allowable level of benzene(a possible carcinogen) in the workplace to 1 part per million (ppm). A steel manufacturing plant is suspected of exceeding this limit on a regular basis. Twenty-two air samples, collected over a period of one month and examined for benzene content, yield an average level of 1.9 ppm with an SD of 1.5 ppm. (We ultimately wish to find out if the plant is in violation of the federal standards.) What is the standard error?

3. The federal government restricts the maximum allowable level of benzene(a possible carcinogen) in the workplace to 1 part per million (ppm). A steel manufacturing plant is suspected of exceeding this limit on a regular basis. Twenty-two air samples, collected over a period of one month and examined for benzene content, yield an average level of 1.9 ppm with an SD of 1.5 ppm. (We ultimately wish to find out if the plant is in violation of the federal standards.) What is the value of the test statistic?

4. The federal government restricts the maximum allowable level of benzene(a possible carcinogen) in the workplace to 1 part per million (ppm). A steel manufacturing plant is suspected of exceeding this limit on a regular basis. Twenty-two air samples, collected over a period of one month and examined for benzene content, yield an average level of 1.9 ppm with an SD of 1.5 ppm. (We ultimately wish to find out if the plant is in violation of the federal standards.) Find the p-value.

5. The federal government restricts the maximum allowable level of benzene(a possible carcinogen) in the workplace to 1 part per million (ppm). A steel manufacturing plant is suspected of exceeding this limit on a regular basis. Twenty-two air samples, collected over a period of one month and examined for benzene content, yield an average level of 1.9 ppm with an SD of 1.5 ppm. (We ultimately wish to find out if the plant is in violation of the federal standards.) True or False: We believe that the plant is in violation of the federal standards, based on these findings.

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