What are the x overbar-chart control limits when the machine is working properly? Calculate the upper control limit of the x overbar-chart Calculate the lower control limit of the x overbar-chart. What are the R-chart control limits when the machine is working properly? Calculate the upper control limit of the R-chart. Calculate the lower control limit of the R-chart. The process is in control if all sample mean and range values are within the control limits. What seems to be happening? Has the process been in control? Yes or no?
What are the x overbar-chart control limits when the machine is working properly? Calculate the upper control limit of the x overbar-chart Calculate the lower control limit of the x overbar-chart. What are the R-chart control limits when the machine is working properly? Calculate the upper control limit of the R-chart. Calculate the lower control limit of the R-chart. The process is in control if all sample mean and range values are within the control limits. What seems to be happening? Has the process been in control? Yes or no?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Refer to the table
Factors for Computing Control Chart Limits (3 sigma)
for this problem.LOADING...
Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of
n=6
taken during the past 3 hours:|
Sample
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
x
|
55
|
47
|
49
|
50
|
52
|
57
|
55
|
48
|
51
|
56
|
|
R
|
3
|
1
|
5
|
3
|
2
|
6
|
3
|
2
|
2
|
3
|
Part 2
Set the control limits for this process for the
x-chart
when the machine is working properly.a) What are the x overbar-chart control limits when the machine is working properly?
Calculate the upper control limit of the x overbar-chart
Calculate the lower control limit of the x overbar-chart.
What are the R-chart control limits when the machine is working properly?
Calculate the upper control limit of the R-chart.
Calculate the lower control limit of the R-chart.
The process is in control if all sample mean and range values are within the control limits. What seems to be happening? Has the process been in control? Yes or no?
Transcribed Image Text:### Data Table
This data table provides a reference for various sample sizes, including mean factors and control limit factors for quality control processes.
| Sample Size, \( n \) | Mean Factor, \( A_2 \) | Upper Range, \( D_4 \) | Lower Range, \( D_3 \) |
|----------------------|------------------------|------------------------|------------------------|
| 2 | 1.880 | 3.268 | 0 |
| 3 | 1.023 | 2.574 | 0 |
| 4 | 0.729 | 2.282 | 0 |
| 5 | 0.577 | 2.115 | 0 |
| 6 | 0.483 | 2.004 | 0 |
| 7 | 0.419 | 1.924 | 0.076 |
| 8 | 0.373 | 1.864 | 0.136 |
| 9 | 0.337 | 1.816 | 0.184 |
| 10 | 0.308 | 1.777 | 0.223 |
| 12 | 0.266 | 1.716 | 0.284 |
### Explanation:
- **Sample Size, \( n \):** Indicates the number of observations in the sample.
- **Mean Factor, \( A_2 \):** Used in calculating control limits for the process mean.
- **Upper Range, \( D_4 \):** Used to calculate the upper control limit for the range.
- **Lower Range, \( D_3 \):** Used to calculate the lower control limit for the range.
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 4 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.