Emissions of sulfur dioxide by industry set off chemical changes in the atmosphe

Question

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in “acid rain.” The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard deviation 0.54. What proportion of rainy days have rainfall with pH below 5.0?

Explanation / Answer

mean = 5.43

standard deviation = 0.54

z value for 5 is (5-5.43)/0.54 = -0.43/0.54 = -0.796 ,p value using z table is 0.213

proportion of rainy days have rainfall with pH below 5.0 is 0.213

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