Solutions Manual
to accompany
STATISTICS FOR ENGINEERS AND
SCIENTISTS, 5th ed.
by
William Navidi
All Supplement Files Download Link at the end of this PDF file.
All Chapters Arranged Reverse: Chapter 10-1
This is the Original Solutions Manual for 5th Edition, All Other
FIles in the Market are Wrong/Old Questions.
, Table of Contents
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
,SECTION 10.1 483
Chapter 10
Section 10.1
1. (a) Count
(b) Continuous
(c) Binary
(d) Continuous
2. (a) True
(b) False. If no special causes are operating, then the variability is constant. It is still possible for much of the output
to fail to conform to specifications, for example through incorrect calibration, or because of a large variation in
common causes.
(c) True. This is part of the definition of a common cause.
(d) False. Rational subgroups should be chosen in such way that the variation within them is due to common causes.
(e) False. There will be variation from common causes.
3. (a) is in control
(b) has high capability
4. (i) It must still be monitored continually.
5. (a) False. Being in a state of statistical control means only that no special causes are operating. It is still possible
for the process to be calibrated incorrectly, or for the variation due to common causes to be so great that much
of the output fails to conform to specifications.
Page 483
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
, 484 CHAPTER 10
(b) False. Being out of control means that some special causes are operating. It is still possible for much of the
output to meet specifications.
(c) True. This is the definition of statistical control.
(d) True. This is the definition of statistical control.
6. (ii) it is more important to sample frequently than to choose large samples, so that special causes can be detected
more quickly.
Section 10.2
1. (a) The sample size is 𝑛 = 4. The upper and lower limits for the 𝑅-chart are 𝐷3 𝑅 and 𝐷4 𝑅, respectively.
From the control chart table, 𝐷3 = 0 and 𝐷4 = 2.282.
𝑅 = 143.7∕30 = 4.79. Therefore LCL = 0, and UCL = 10.931.
(b) The sample size is 𝑛 = 4. The upper and lower limits for the 𝑆-chart are 𝐵3 𝑠 and 𝐵4 𝑠, respectively.
From the control chart table, 𝐵3 = 0 and 𝐵4 = 2.266.
𝑠 = 62.5∕30 = 2.08333. Therefore LCL = 0 and UCL = 4.721.
(c) The upper and lower limits for the 𝑋-chart are 𝑋 − 𝐴2 𝑅 and 𝑋 + 𝐴2 𝑅, respectively.
From the control chart table, 𝐴2 = 0.729. 𝑅 = 143.7∕30 = 4.79 and 𝑋 = 712.5∕30 = 23.75.
Therefore LCL = 20.258 and UCL = 27.242.
(d) The upper and lower limits for the 𝑋-chart are 𝑋 − 𝐴3 𝑠 and 𝑋 + 𝐴3 𝑠, respectively.
From the control chart table, 𝐴3 = 1.628. 𝑠 = 62.5∕30 = 2.08333 and 𝑋 = 712.5∕30 = 23.75.
Therefore LCL = 20.358 and UCL = 27.142.
2. The process is never out of control.
Page 484
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
to accompany
STATISTICS FOR ENGINEERS AND
SCIENTISTS, 5th ed.
by
William Navidi
All Supplement Files Download Link at the end of this PDF file.
All Chapters Arranged Reverse: Chapter 10-1
This is the Original Solutions Manual for 5th Edition, All Other
FIles in the Market are Wrong/Old Questions.
, Table of Contents
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
,SECTION 10.1 483
Chapter 10
Section 10.1
1. (a) Count
(b) Continuous
(c) Binary
(d) Continuous
2. (a) True
(b) False. If no special causes are operating, then the variability is constant. It is still possible for much of the output
to fail to conform to specifications, for example through incorrect calibration, or because of a large variation in
common causes.
(c) True. This is part of the definition of a common cause.
(d) False. Rational subgroups should be chosen in such way that the variation within them is due to common causes.
(e) False. There will be variation from common causes.
3. (a) is in control
(b) has high capability
4. (i) It must still be monitored continually.
5. (a) False. Being in a state of statistical control means only that no special causes are operating. It is still possible
for the process to be calibrated incorrectly, or for the variation due to common causes to be so great that much
of the output fails to conform to specifications.
Page 483
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
, 484 CHAPTER 10
(b) False. Being out of control means that some special causes are operating. It is still possible for much of the
output to meet specifications.
(c) True. This is the definition of statistical control.
(d) True. This is the definition of statistical control.
6. (ii) it is more important to sample frequently than to choose large samples, so that special causes can be detected
more quickly.
Section 10.2
1. (a) The sample size is 𝑛 = 4. The upper and lower limits for the 𝑅-chart are 𝐷3 𝑅 and 𝐷4 𝑅, respectively.
From the control chart table, 𝐷3 = 0 and 𝐷4 = 2.282.
𝑅 = 143.7∕30 = 4.79. Therefore LCL = 0, and UCL = 10.931.
(b) The sample size is 𝑛 = 4. The upper and lower limits for the 𝑆-chart are 𝐵3 𝑠 and 𝐵4 𝑠, respectively.
From the control chart table, 𝐵3 = 0 and 𝐵4 = 2.266.
𝑠 = 62.5∕30 = 2.08333. Therefore LCL = 0 and UCL = 4.721.
(c) The upper and lower limits for the 𝑋-chart are 𝑋 − 𝐴2 𝑅 and 𝑋 + 𝐴2 𝑅, respectively.
From the control chart table, 𝐴2 = 0.729. 𝑅 = 143.7∕30 = 4.79 and 𝑋 = 712.5∕30 = 23.75.
Therefore LCL = 20.258 and UCL = 27.242.
(d) The upper and lower limits for the 𝑋-chart are 𝑋 − 𝐴3 𝑠 and 𝑋 + 𝐴3 𝑠, respectively.
From the control chart table, 𝐴3 = 1.628. 𝑠 = 62.5∕30 = 2.08333 and 𝑋 = 712.5∕30 = 23.75.
Therefore LCL = 20.358 and UCL = 27.142.
2. The process is never out of control.
Page 484
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual
may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their
individual course preparation. If you are a student using this Manual, you are using it without permission.
