Since the chemical benzene may cause cancer the federal gove

Since the chemical benzene may cause cancer, the federal government has set the maximum allowable benzene concentration in the workplace at 1 part per million (1 ppm) Suppose that a steel manufacturing plant is under investigation for possible violation regarding benzene level. The Occupational Safety and Health Administration (OSHA) will analyze 14 air sample over a one-month period. Assume normality of the population from which the sample were drawn. What is an appropriate null hypothesis for this scenario? (Give this in symbols) What is an appropriate alternative hypothesis for this scenario? (Give this in symbols) What kind of hypothesis test this: left-tailed, right-tailed or two-tailed? Explain how you picked your answer. Is this a one-sample t-test or a one-sample test using a normal distribution? Explain how you picked your answer. If the test using this sample of size 14 is to be done at the 1 percent significance level, calculate the critical values(s) and describe the rejection region(s) for the test statistic. Show your work. OHSA finds the following for their sample of size 14: a mean benzene level of 1.51 ppm and a standard deviation of 1.415 ppm. What should be concluded at the 1 percent significance level? Support your answer with calculation(s) and reasoning.

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