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Following are measurements of soil concentrations (in

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 4E Chapter 1.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

Following are measurements of soil concentrations (in mg/kg) of chromium (Cr) and nickel (Ni) at 20 sites in the area of Cleveland, Ohio. These data are taken from the article “Variation in North American Regulatory Guidance for Heavy Metal Surface Soil Contamination at Commercial and Industrial Sites” (A. Jennings and J. Ma, j Environment Eng, 2007:587-609).

Cr:

34    1    511     2     574     496     322     424

 

269     140     244     252      76     108     24     38

 

18     34     30     191

Ni:

23      22     55      39     283     34     159      37

 

.61     34     163     140     32     23      54     837

 

64     354     376      471

a.         Construct a histogram for each set of concentrations.

b.        Construct comparative boxplots for the two sets of concentrations.

c. Using the boxplots. what differences can be seen between the two sets of concentrations?

Step-by-Step Solution:

Answer

Step 1 of 6</p>

a)Histogram for chromium

Step 2 of 6</p>

Histogram for Nickel

Step 3 of 6</p>

For drawing the box plot we have to find the following terms

 for finding those values type all the values in the excel and get it

For chromium

Maximum value=574

Minimum value=1

Median=(

            =124

First quartile(Q1)= (

                          =33

Third quartile(Q3)= 3(

                           =282.25

Inter quartile range(IQR)=Q3-Q1 

                                       =249.25

Q1-(1.5)IQR=33-1.5(249.25)

                   = -340.875(lower side no outliers)

Q3+(1.5)IQR=282.25+1.5(249.25)

                   =656.125

Outliers be any points below -340.875 and above 656.125

There are no outliers

Step 4 of 6

Chapter 1.3, Problem 4E is Solved
Step 5 of 6

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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