Asked by Alejandro Arias on May 05, 2024
Verified
At your first job out of college you have been assigned to the production of bottled 20 oz. soda. The process has upper and lower limits of 20.5 and 19.5 oz, respectively, with a mean of 19.8 oz
And standard deviation of .3 oz. Your manager has requested the process produce no more than 3.4
Defects per 1 million bottles produced. Calculate Cpk and then determine if the process is capable
Or if you should be looking for assignable variation.
Assignable Variation
A variation in a process or product that can be traced to specific causes, as opposed to random or inherent variability.
Defects
Imperfections or errors in a product or process that deviate from desired standards or outcomes.
Standard Deviation
A statistical measure that quantifies the amount of variation or dispersion in a set of data values.
- Calculate and interpret capability indices (Cp, Cpk) and understand their significance in process capability analysis.
- Explore the dependability and capacity of processes with the aid of statistical mechanisms.
Verified Answer
The process is not capable because Cpk is less than the 2.0 required for under 3.4 defects per million. Thus you should focus on eliminating assignable variation from the process, working to both center the mean and reduce the average sample range.
Learning Objectives
- Calculate and interpret capability indices (Cp, Cpk) and understand their significance in process capability analysis.
- Explore the dependability and capacity of processes with the aid of statistical mechanisms.
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