High School

Week 10 Homework Problems 1. A finance department wants to calculate the performance of its billing department. They have reviewed 200 outgoing bills and found that 8 of that have some types of defects. Calculate the Sigma Performance of this process using Z Score and comment on the result 2. A pharmaceutical manufacturing manager in charge of producing a life saving drug needs the manufacturing line to perform at 6 Sigma Quality level. If the current batch of 250000 units has 50 rejected units by the QA, does the production line meets the required performance level?

Answer :

Six Sigma is a system that focuses on reducing defects in processes. Calculating Sigma Performance using Z Score helps assess the quality level of a process. The examples provided show how to calculate Sigma Performance and interpret the results for different scenarios.

Six Sigma is a methodology aimed at achieving high-quality processes with minimal defects. It operates at a level where only 3.4 defects per million opportunities are allowed.

Calculating the Sigma Performance using Z Score involves determining how many standard deviations a process is from the mean to assess its quality level.

In the first scenario provided, 8 defects in 200 bills would result in a Sigma Performance of 2.1, indicating a need for improvement. In the second scenario with 50 rejected units out of 250,000, the production line is not meeting the required 6 Sigma Quality level as it results in a Sigma Performance of 4.68.