In: Math
Question 7
Acid rain is an environmental challenge in many places around the world. It refers to rain or any other form of precipitation that is unusually acidic, i.e. rainwater having elevated levels of hydrogen ions (low pH). The measure of pH is a measure of the acidity or basicity of a solution and has a scale ranging from 0 to 14. Distilled water, with carbon dioxide removed, has a neutral pH level of 7. Liquids with a pH less than 7 are acidic. However, even unpolluted rainwater is slightly acidic with pH varying between 5.2 to 6.0 due to the fact that carbon dioxide and water in the air react together to form carbonic acid. Thus, rainwater is only considered acidic if the pH level is less than 5.2..
In a remote region of Algonquin Park, a biologist measured the pH levels of rainwater and obtained the following data for 16 rainwater samples on 16 different lakes:
4.73 |
4.79 |
4.87 |
4.88 |
5.04 |
5.06 |
5.07 |
5.09 |
5.11 |
5.16 |
5.18 |
5.21 |
5.23 |
5.24 |
5.25 |
5.25 |
Is there reason to believe that the is considered acidic (less
than 5.20)?
Use the Sign Test to test the claim at 95% confidence that the rainwater from this region has a median pH level less than 5.20.
a) State the Hypotheses (1)
b) State the decision rule (1)
c) Determine the test statistic (1)
d) State your decision and interpretation. (1,1)
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