The thickness, in mm, of metal washers is measured on samples of size 5. The following table presents the means, ranges, and standard deviations for 20 consecutive samples. Page 792 Sample 2.49 0.12 0.07 2 2.45 0.17 0.06 2.51 0.13 0.06 4 2.53 0.25 0.09 5 2.49 0.11 0.06 2.44 0.11 0.06 2.44 0.12 0.05 2.42 0.18 0.06 2.42 0.08 0.05 10 2.47 0.06 0.02 11 2.54 0.19 0.07 12 2.45 0.09 0.04 13 2.54 0.21 0.07 14 2.55 0.10 0.05 15 2.50 0.25 0.08 16 2.53 0.11 0.04 17 2.58 0.16 0.07 18 2.59 0.09 0.03 19 2.60 0.12 0.05 20 2.56 0.14 0.06 The means are X 2.505. R = 0.1395, and y = 0.057 Calculate the 30 control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute X and R. Based on the sample range R, calculate the 30 control limits for the X chart. Based on a. b. the 30 limits, is the process mean in control? If not, when is it first detected to be out of control? Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? C.
The thickness, in mm, of metal washers is measured on samples of size 5. The following table presents the means, ranges, and standard deviations for 20 consecutive samples. Page 792 Sample 2.49 0.12 0.07 2 2.45 0.17 0.06 2.51 0.13 0.06 4 2.53 0.25 0.09 5 2.49 0.11 0.06 2.44 0.11 0.06 2.44 0.12 0.05 2.42 0.18 0.06 2.42 0.08 0.05 10 2.47 0.06 0.02 11 2.54 0.19 0.07 12 2.45 0.09 0.04 13 2.54 0.21 0.07 14 2.55 0.10 0.05 15 2.50 0.25 0.08 16 2.53 0.11 0.04 17 2.58 0.16 0.07 18 2.59 0.09 0.03 19 2.60 0.12 0.05 20 2.56 0.14 0.06 The means are X 2.505. R = 0.1395, and y = 0.057 Calculate the 30 control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute X and R. Based on the sample range R, calculate the 30 control limits for the X chart. Based on a. b. the 30 limits, is the process mean in control? If not, when is it first detected to be out of control? Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? C.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The thickness, in mm, of metal washers is measured on samples of size 5. The following
table presents the means, ranges, and standard deviations for 20 consecutive samples.
Page 792
Sample
2.49
0.12
0.07
2
2.45
0.17
0.06
2.51
0.13
0.06
4
2.53
0.25
0.09
5
2.49
0.11
0.06
2.44
0.11
0.06
2.44
0.12
0.05
2.42
0.18
0.06
2.42
0.08
0.05
10
2.47
0.06
0.02
11
2.54
0.19
0.07
12
2.45
0.09
0.04
13
2.54
0.21
0.07
14
2.55
0.10
0.05
15
2.50
0.25
0.08
16
2.53
0.11
0.04
17
2.58
0.16
0.07
18
2.59
0.09
0.03
19
2.60
0.12
0.05
20
2.56
0.14
0.06
The means are X
2.505. R = 0.1395, and y = 0.057
Calculate the 30 control limits for the R chart. Is the variance under control? If not,
delete the samples that are out of control and recompute X and R.
Based on the sample range R, calculate the 30 control limits for the X chart. Based on
a.
b.
the 30 limits, is the process mean in control? If not, when is it first detected to be out of
control?
Based on the Western Electric rules, is the process mean in control? If not, when is it
first detected to be out of control?
C.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 12 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman