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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.3 - Problem 9e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.3 - Problem 9e

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

ISBN: 9780073401331 38

## Solution for problem 9E Chapter 1.3

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

Step 3 of 3

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