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Refer to Table 1.4 (in Section 1.3).a. Using the class

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

Solution for problem 9E 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 9E

Problem 9E

Refer to Table 1.4 (in Section 1.3).

a. Using the class intervals in the table, construct a histogram in which the heights of the rectangles are equal to the frequencies.

b. Using the class intervals in the table, construct a histogram in which the heights of the rectangles are equal to the densities.

c. Compare the histograms in parts (a) and (b) with the histogram in Figure 1.8, for which the heights are the relative frequencies. Are the shapes of the histograms the same?

Step-by-Step Solution:
Step 1 of 3

Solution 9E

Step1 of 3:

We have a data set from section 1.3, Table 1.4.

Class interval(g/gal)

Frequency

Relative Frequency

Density

1-<3

12

0.1935

0.0968

3-<5

11

0.1774

0.0887

5-<7

18

0.2903

0.1452

7-<9

9

0.1452

0.0726

9-<11

5

0.0806

0.0403

11-<13

1

0.0161

0.0081

13-<15

2

0.0323

0.0161

15-<17

0

0

0

17-<19

2

0.0323

0.0161

19-<21

1

0.0161

0.0081

21-<23

0

0

0

23-<25

1

0.0161

0.0081

We need to find,

a).Using the class intervals in the table, construct a histogram in which the heights of the rectangles are equal to the frequencies.

b).Using the class intervals in the table, construct a histogram in which the heights of the rectangles are equal to the densities.

c).Compare the histograms in parts (a) and (b) with the histogram in Figure 1.8, for which the heights are the relative frequencies. Are the shapes of the histograms the same?

Step2 of 3:

a).

A histogram in which the heights of the rectangles are equal to the frequencies is given below


b).

A histogram in which the heights of the rectangles are equal to the densities is given below


Step3 of 3:

c).

By comparing Histogram graphs in part(a) and part(b) we can say that Yes, the shapes of the histograms are the same.

Step 2 of 3

Chapter 1.3, Problem 9E is Solved
Step 3 of 3

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

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Refer to Table 1.4 (in Section 1.3).a. Using the class