Question content area Part 1 Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 1,800 hours and σ = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Based on the given information, the process capability ratio, Cp = enter your response here (round your response to two decimal places). Part 2 Based on the process capability ratio (Cp) for the given information, one can say that the process is ▼ very much capable not at all capable barely capable of producing the chips to the design specifications. Part 3 For the given information, the process capability index (Cpk) = enter your response here (round your response to two decimal places). Part 4 Based on the process capability index (Cpk) for the given information, one can say that the process ▼ does not meet meets is better than the specification.
Question content area Part 1 Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 1,800 hours and σ = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Based on the given information, the process capability ratio, Cp = enter your response here (round your response to two decimal places). Part 2 Based on the process capability ratio (Cp) for the given information, one can say that the process is ▼ very much capable not at all capable barely capable of producing the chips to the design specifications. Part 3 For the given information, the process capability index (Cpk) = enter your response here (round your response to two decimal places). Part 4 Based on the process capability index (Cpk) for the given information, one can say that the process ▼ does not meet meets is better than the specification.
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
Question content area
Part 1
Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of
1,800
hours and
σ
=
100
hours. The tolerance upper and lower specification limits are
2,400
hours and
1,600
hours, respectively. Based on the given information, the process capability ratio,
Cp
=
enter your response here
(round your response to two decimal places).Part 2
Based on the process capability ratio
of producing the chips to the design specifications.
(Cp)
for the given information, one can say that the process is
▼
very much capable
not at all capable
barely capable
Part 3
For the given information, the process capability index
(Cpk)
=
enter your response here
(round your response to two decimal places).Part 4
Based on the process capability index
the specification.
(Cpk)
for the given information, one can say that the process
▼
does not meet
meets
is better than
![### Process Capability Analysis for DRAM Chip Production
**Introduction:**
Meena Chavan Corp.'s computer chip production process yields DRAM chips with the following specifications:
- **Average life:** 1,800 hours
- **Standard deviation (σ):** 100 hours
**Specification Limits:**
- **Upper Specification Limit (USL):** 2,400 hours
- **Lower Specification Limit (LSL):** 1,600 hours
**Process Capability Ratio (Cp):**
Based on the given information, the process capability ratio, \( C_p \), is calculated using the formula:
\[ C_p = \frac{{USL - LSL}}{{6 \sigma}} \]
\( C_p = \) \_\_\_ (round your response to two decimal places).
Based on the process capability ratio (\( C_p \)) for the given information, one can say that the process is \[\ \boxed{\text{Select}}\ ] of producing the chips to the design specifications.
**Process Capability Index (Cpk):**
The process capability index, \( C_{pk} \), is determined using the formula for the given information:
\[ C_{pk} = \min\left( \frac{{USL - \mu}}{{3\sigma}}, \frac{{\mu - LSL}}{{3\sigma}} \right) \]
where \( \mu \) is the process mean (average life of 1,800 hours).
\( C_{pk} = \) \_\_\_ (round your response to two decimal places).
Based on the process capability index (\( C_{pk} \)) for the given information, one can say that the process \[\ \boxed{\text{Select}}\ ] the specification (e.g., meets, does not meet, or exceeds).
**Summary:**
This analysis helps in understanding the capability of Meena Chavan Corp.'s production process in meeting the specified limits for DRAM chip life. By calculating the \( C_p \) and \( C_{pk} \) values, we can determine the effectiveness and reliability of the manufacturing process against the defined specifications.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F135ae681-a644-4164-9b10-2ae2e87534da%2F96e87f6f-30f5-4b53-b4cd-edc8d97dbf4f%2Flkr2nbp_processed.png&w=3840&q=75)
Transcribed Image Text:### Process Capability Analysis for DRAM Chip Production
**Introduction:**
Meena Chavan Corp.'s computer chip production process yields DRAM chips with the following specifications:
- **Average life:** 1,800 hours
- **Standard deviation (σ):** 100 hours
**Specification Limits:**
- **Upper Specification Limit (USL):** 2,400 hours
- **Lower Specification Limit (LSL):** 1,600 hours
**Process Capability Ratio (Cp):**
Based on the given information, the process capability ratio, \( C_p \), is calculated using the formula:
\[ C_p = \frac{{USL - LSL}}{{6 \sigma}} \]
\( C_p = \) \_\_\_ (round your response to two decimal places).
Based on the process capability ratio (\( C_p \)) for the given information, one can say that the process is \[\ \boxed{\text{Select}}\ ] of producing the chips to the design specifications.
**Process Capability Index (Cpk):**
The process capability index, \( C_{pk} \), is determined using the formula for the given information:
\[ C_{pk} = \min\left( \frac{{USL - \mu}}{{3\sigma}}, \frac{{\mu - LSL}}{{3\sigma}} \right) \]
where \( \mu \) is the process mean (average life of 1,800 hours).
\( C_{pk} = \) \_\_\_ (round your response to two decimal places).
Based on the process capability index (\( C_{pk} \)) for the given information, one can say that the process \[\ \boxed{\text{Select}}\ ] the specification (e.g., meets, does not meet, or exceeds).
**Summary:**
This analysis helps in understanding the capability of Meena Chavan Corp.'s production process in meeting the specified limits for DRAM chip life. By calculating the \( C_p \) and \( C_{pk} \) values, we can determine the effectiveness and reliability of the manufacturing process against the defined specifications.
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 3 steps with 3 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