Question 312889: I am going crazy trying to solve this. Please help.
Assume that federal regulations require that the average smoke stack concentration of a certain industrial pollutant must not exceed 135 ppm. The Environmental Protection Agency suspects that one factory is violating this requirement. The Environmental Protection Agency randomly collects 31 independent specimens of smoke from the factory's stack, one specimen on each day in October, and performs an accurate (and expensive!) 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 (the factory management and the Environmental Protection Agency) might argue its case based on sound statistical reasoning. Assume that each party has statistically competent advisors. That is, each party's position should be statistically sound. Include as appropriate graphs, calculations, and statistical tests.
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 Environmental Protection Agency suspects that one factory is violating this requirement. The Environmental Protection Agency randomly collects 31 independent specimens of smoke from the factory's stack, one specimen on each day in October, and performs an accurate (and expensive!) 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 (the factory management and the Environmental Protection Agency) might argue its case based on sound statistical reasoning. Assume that each party has statistically competent advisors. That is, each party's position should be statistically sound. Include as appropriate graphs, calculations, and statistical tests.
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You have a claim (u = 135)
and you have a sample (you need to find the sample mean and std)
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Let the alternate hypothesis be u > 135 (EPA position)
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Run a 1-sample T-test on the data and draw a conclusion.
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Generate a histogram, and/or relative frequency distribution, and
a box-plot. Maybe you can make argulents from those that favor one
side or the other. Consider the percentage of scores that are above
and the percent that are below 135---percentages are always good for
making questionable conclusions.
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Cheers,
Stan H.
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