A manager states that his process is really working well. Out of 1,450 parts, 1,433 were produced free of a particular defect and passed inspection. a. Calculate the defects per million opportunities (DPMO). (Round your answer to the nearest whole number.) Defects per million opportunities b. Calculate the defective rate. (Round your answer to 3 decimal places.) Defective rate c. Based on Six-Sigma theory, how would you rate this performance? O Not so good O Good

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

2.10?1

**Quality Control Exercise**

In this exercise, a manager claims that his process is highly effective. Out of 1,450 manufactured parts, 1,433 were produced without defects and passed inspection.

**Tasks:**

a. **Calculate the Defects Per Million Opportunities (DPMO).**
   - Formula: \((\text{Number of Defects} \div \text{Total Opportunities}) \times 1,000,000\)
   - Input the result in the box provided, rounding your answer to the nearest whole number.

   **Defects per million opportunities:** [  ]

b. **Calculate the Defective Rate.**
   - Formula: \((\text{Number of Defects} \div \text{Total Parts}) \times 100\)
   - Input the result in the box provided, rounding your answer to three decimal places.

   **Defective rate:** [  ] %

c. **Evaluate the Performance Based on Six-Sigma Theory.**
   - Choose one option based on the calculated performance.
   - Options:
     - Not so good
     - Good

This exercise is designed to assess your understanding of quality control metrics and how they are used to evaluate manufacturing processes. Calculate carefully and choose the correct evaluation based on Six-Sigma standards.
Transcribed Image Text:**Quality Control Exercise** In this exercise, a manager claims that his process is highly effective. Out of 1,450 manufactured parts, 1,433 were produced without defects and passed inspection. **Tasks:** a. **Calculate the Defects Per Million Opportunities (DPMO).** - Formula: \((\text{Number of Defects} \div \text{Total Opportunities}) \times 1,000,000\) - Input the result in the box provided, rounding your answer to the nearest whole number. **Defects per million opportunities:** [ ] b. **Calculate the Defective Rate.** - Formula: \((\text{Number of Defects} \div \text{Total Parts}) \times 100\) - Input the result in the box provided, rounding your answer to three decimal places. **Defective rate:** [ ] % c. **Evaluate the Performance Based on Six-Sigma Theory.** - Choose one option based on the calculated performance. - Options: - Not so good - Good This exercise is designed to assess your understanding of quality control metrics and how they are used to evaluate manufacturing processes. Calculate carefully and choose the correct evaluation based on Six-Sigma standards.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,