Answered: Emissions of sulfur dioxide by industry…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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 quartiles from the median.

(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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