(Statistical Process Control) A wood shop produces processed wood chips with high precision. The shop wants to know whether the process is still controlled using statistical process control methods. The shop owner measured the length with 5 samples every day for 10 consecutive days according to the results in the table below. Day Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 1 174 147 145 141 144 2 139 134 135 135 174 3 135 150 130 174 143 4 142 136 145 141 133 5 142 132 146 134 149 6 143 143 141 145 144 7 134 174 144 141 144 8 133 139 146 140 145 9 140 135 135 133 174 10 136 132 130 174 145   From the data above, the shop owner asks you as a quality expert to determine whether the production process is still under control with regard to quality. Calculate LCL-X and UCL-X from these measurements and make a sketch of the X-Chart Calculate the LCL-R and UCL-R from these measurements and make a sketch of the R-Chart Analyze whether the process is still controlled or not. Explain your reasons.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

(Statistical Process Control)

A wood shop produces processed wood chips with high precision. The shop wants to know whether the process is still controlled using statistical process control methods. The shop owner measured the length with 5 samples every day for 10 consecutive days according to the results in the table below.

Day

Sample 1

Sample 2

Sample 3

Sample 4

Sample 5

1

174

147

145

141

144

2

139

134

135

135

174

3

135

150

130

174

143

4

142

136

145

141

133

5

142

132

146

134

149

6

143

143

141

145

144

7

134

174

144

141

144

8

133

139

146

140

145

9

140

135

135

133

174

10

136

132

130

174

145

 

From the data above, the shop owner asks you as a quality expert to determine whether the production process is still under control with regard to quality.

  1. Calculate LCL-X and UCL-X from these measurements and make a sketch of the X-Chart
  2. Calculate the LCL-R and UCL-R from these measurements and make a sketch of the R-Chart
  3. Analyze whether the process is still controlled or not. Explain your reasons.
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman