Roman Numerals and Process
Chapter 09a Process Capability and Statistical Process Control Review and Discussion Questions 1. The capability index allows for some drifting of the process mean. Discuss what this means in terms of product quality output. When Cpk is larger then 1. 33 or 1. 5, this means that the mean of the process can drift (up to a limit) while still producing within specifications. This is what is implied by the phrase “a capable process. ” 2. Discuss the purposes and differences between the P-charts and X-bar and R charts. P-charts are used to monitor the process for attribute data. These are typically binomial “go, no-go” data.
An example of a P-chart is percent of pieces nonconforming. X-bar charts are used for charting population values for continuous measurement. X-bar charts operate effectively with smaller sample sizes than P-charts, but it is more involved to analyze the sample for an X-bar chart since a measurement must be taken. A rule of thumb for the sample size of a P-chart is to have at least one defective in each sample. This can require a relatively large sample size in some cases. If the process is slow, an X-bar chart will generally be a better choice since it functions with smaller sample sizes.
An example of an X-bar chart is average time to complete a mile run for one person. R charts are used to compute process ranges for variable data, and are generally used in concert with X-bar charts. 3. In an agreement between a supplier and a customer, the supplier must ensure that all parts are within tolerance before shipment to the customer. What would be the effect on the cost of quality to the customer? Before the agreement was made, the customer probably inspected each part to protect against off-spec supplies. This agreement (ideally) eliminates the need for this inspection.