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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.
A sample of 105105 rainwater specimens had mean pH 5.43; standard deviation 0.54; and five‑number summary 4.33, 5.05, 5.44, 5.79, 6.81.
(a) Compare the mean and median and also the distances of the two
(b) If the distribution is really ?(5.43,0.54), what proportion of observations would be less than 5.05? (Enter your answer rounded to four decimal places.)
proportion:
If the distribution is really N(5.43,0.54), what proportion of observations would be less than 5.79? (Enter your answer rounded to four decimal places.)
proportion:
Do these proportions suggest that the distribution is close to Normal? Why?
A. No, because the Normal distribution has a higher third quartile and a higher first quartile.
B. Yes, because the quartiles are very close to the quartiles of the Normal distribution.
C. No, because the Normal distribution has a lower first quartile and a lower third quartile.
D. These proportions do not provide information about Normality.
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