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Checking for Pollution

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A common method of checking for pollution in a river is to measure the dissolved oxygen content in the river water at different locations. A reduction of oxygen content in the water from one location to another indicates the presence of pollution somewhere between the two locations. The Environmental Protection Agency (EPA) suspected that a small town was dumping untreated sewage into a river running through a town. Six random specimens of river water were taken at a location above town and five such specimens below the town. The dissolved oxygen readings, in parts per million, are shown below. Use alpha = .10 to see if the EPA should be concerned. Also, is the test dependent or independent?

Above Town Below Town

4.8 4.7 4.9 5.1

5.2 5.1 5.0 4.6

5.0 4.9 4.8

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This Solution contains over 200 words and calculations to aid you in understanding the Solution to this question.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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