MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.](https://content.bartleby.com/qna-images/question/135ae681-a644-4164-9b10-2ae2e87534da/96e87f6f-30f5-4b53-b4cd-edc8d97dbf4f/lkr2nbp_processed.png)
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.
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