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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore
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Solved: Mercury is a persistent and dispersive

Chapter 1, Problem 35E

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QUESTION:

Problem 35E

Mercury is a persistent and dispersive environmental contaminant found in many ecosystems around the world. When released as an industrial by-product, it often finds its way into aquatic systems where it can have deleterious effects on various avian and aquatic species. The accompanying data on blood mercury concentration (gg/g) for adult females near contaminated rivers in Virginia was read from a graph in the article "Mercury Exposure Effects the Reproductive Success of a Free-Living Terrestrial Songbird, the Carolina Wren" (The Auk, 2011: 759-769; this is a publication of the American Ornithologists' Union).

a. Determine the values of the sample mean and sample median and explain why they are different.

b. Determine the value of the 10% trimmed mean and compare to the mean and median.

c. By how much could the observation .20 be increased without impacting the value of the sample median?

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QUESTION:

Problem 35E

Mercury is a persistent and dispersive environmental contaminant found in many ecosystems around the world. When released as an industrial by-product, it often finds its way into aquatic systems where it can have deleterious effects on various avian and aquatic species. The accompanying data on blood mercury concentration (gg/g) for adult females near contaminated rivers in Virginia was read from a graph in the article "Mercury Exposure Effects the Reproductive Success of a Free-Living Terrestrial Songbird, the Carolina Wren" (The Auk, 2011: 759-769; this is a publication of the American Ornithologists' Union).

a. Determine the values of the sample mean and sample median and explain why they are different.

b. Determine the value of the 10% trimmed mean and compare to the mean and median.

c. By how much could the observation .20 be increased without impacting the value of the sample median?

ANSWER:

Solution:

Step 1:  

           Here an  experiment is conducted to find the effect of mercury  in  reproductive system of    adult females. The have  given data blood mercury concentration (gg/g) for adult females near contaminated rivers in Virginia.

                  .20     .22     .25     .30   .34   .41    .55     .56

                  1.42   1.70    1.83    2.20   2.25     3.07    3.25

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