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A certain reaction was run several times using each of two

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

Solution for problem 5E 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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1
Problem 5E

A certain reaction was run several times using each of two catalysts, A and B. The catalysts were supposed to control the yield of an undesirable side product. Results, in units of percentage yield, for 24 runs of catalyst A and 20 runs of catalyst B are as follows:

Catalyst A

4.4

3.4

2.6

3.8

4.9

4.6

5.2

4.7

4.1

2.6

6.7

4.1

3.6

2.9

2.6

4.0

4.3

3.9

4.8

4.5

4.4

3.1

5.7

4.5

 

Catalyst B

3.4

1.1

2.9

5.5

6.4

5.0

5.8

2.5

3.7

3.8

3.1

1.6

3.5

5.9

6.7

5.2

6.3

2.6

4.3

3.8

a.         Construct a histogram for the yields of each catalyst.

b.        Construct comparative boxplots for the yields of the two catalysts.

c. Using the boxplots, what differences can be seen between the results of the yields of the two catalysts?

Step-by-Step Solution:

Step 1 of 4:

A certain reaction was run several times using each of two catalysts, A and B. The catalysts is used to control   the yield of an undesirable side product. Results, in units of percentage yield, for 24 runs of catalyst A and 20 runs of catalyst Bis given. We have to construct.

Histogram for the yields of each catalyst.comparative boxplots for the yields of the each catalyst.                                                             Find the differences between the yields of two catalyst.

Step 2 of 4 :

In order to make a histogram for the yields of each catalyst. We can use excel

 We will get the frequency table as

Catalyst A

x

f(x)

Relative frequency

2-3

4

0.1666

3-4

6

0.25

4-5

11

0.458

5-6

2

0.0833

6-7

1

0.0416

   

                         

Catalyst B

x

f(x)

Relative frequency

1-2

2

0.1

2-3

3

0.15

3-4

6

0.3

4-5

2

0.1

5-6

4

0.2

6-7

3

0.15

                                              

Step 3 of 4

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

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

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