×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

The article “Computing and Using Rural versus Urban

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

Solution for problem 15SE Chapter 1

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 352 Reviews
24
0
Problem 15SE

The article “Computing and Using Rural versus Urban Measures in Statistical Applications” (C. Goodall, K. Kafadar, and J. Tukey, The American Statistician,1998:101-111) discusses methods to measure the degree to which U.S. counties are urban rather than rural. The following frequency table presents population frequencies of U.S. counties. Populations are on the log2 scale; thus the first interval contains counties whose populations are at least 26 = 64 but less than 2’14 = 5404. and so on.

log2 Population

Number of Counties

6.0-< 12.4

305

12.4—< 13.1

294

13.1-< 13.6

331

13.6-< 14.0

286

14.0-< 14.4

306

14.4—< 14.8

273

14.8—< 15.3

334

15.3—< 16.0

326

16.0-< 17.0

290

17.0—< 23.0

323

a.         Construct a histogram from the frequency table.

b.        Estimate the proportion of counties whose populations are greater than 100,000.

c.         Is the histogram skewed to the left, skewed to the right, or approximately symmetric?

d. Construct a histogram using the actual populations rather than their logs. Why do you think the article transformed the populations to the log scale?

Step-by-Step Solution:

Answer:

Step 1 of 5:

                 The given frequency table presents population frequencies of U.S. counties.

                         

log2 population

Number of counties

6.0-12.4

305

12.4-13.1

294

13.1-13.6

331

13.6-14

286

14-14.4

306

14.4-14.8

273

14.8-15.3

334

15.3-16

326

16-17

290

17-23

323

 Step 2 of 5:

 a).  To construct a histogram from the frequency table.

               

 Step 3 of 5:

b).  0.14 populations are greater than 100000.

 

Step 4 of 5

Chapter 1, Problem 15SE is Solved
Step 5 of 5

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

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The article “Computing and Using Rural versus Urban

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password