Question 280094: Assume that federal regulations require that the average smoke stack concentration of a certain industrial pollutant must not exceed 135 ppm. The EPA suspects that one factory is violating this requirement. The EPA randomly collects 31 independent specimens of smoke from the factory's stack, one specimen on each day in October, and performs an accurate lab analysis. The results in ppm are:
147, 151, 122, 107, 136, 139, 141, 153, 138, 111, 155, 147, 165, 148, 150, 123, 106, 137, 138, 142, 154, 139, 109, 157, 146, 168, 145, 153, 120, 104, and 130.
Discuss how each party might argue its cases based on sound statistical reasoning. Include appropriate charts, calculations and statistical tests.
I already have the calculations and I want to create a histogram but I'm not sure if that is the right chart to use and I'm lost in regards to the statistical tests to perform.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume that federal regulations require that the average smoke stack concentration of a certain industrial pollutant must not exceed 135 ppm. The EPA suspects that one factory is violating this requirement. The EPA randomly collects 31 independent specimens of smoke from the factory's stack, one specimen on each day in October, and performs an accurate lab analysis. The results in ppm are:
147, 151, 122, 107, 136, 139, 141, 153, 138, 111, 155, 147, 165, 148, 150, 123, 106, 137, 138, 142, 154, 139, 109, 157, 146, 168, 145, 153, 120, 104, and 130.
Discuss how each party might argue its cases based on sound statistical reasoning. Include appropriate charts, calculations and statistical tests.
I already have the calculations and I want to create a histogram but I'm not sure if that is the right chart to use and I'm lost in regards to the statistical tests to perform.
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You might generate a box-plot to discuss the shape of the data.
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You should determine the sample mean and sample standard deviation,
then perform a right-tail hypothesis test using:
Ho: u<= 135
Ha: u > 135
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Let me know if you need further help.
Cheers,
Stan H.
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