Final answer:
Process Capability Index (Cpk) is used to determine if a process is capable. Processes R (Cpk = 2.26) and T (Cpk = 1.52) are both above the benchmark of 1.33, indicating they are capable. Processes Q and S are not capable as their Cpk values are below the benchmark.
Step-by-step explanation:
The Process Capability Index (Cpk) is a statistical measure of a process's ability to produce output within specified limits. A Cpk of 1.33 or higher is often considered a benchmark for a capable process, indicating that the process output is well within the tolerance limits, meeting quality requirements. Examining the given Cpk values:
- Process Q: Cpk = 0.81, which is lower than the benchmark, so it is not considered capable.
- Process R: Cpk = 2.26, which is well above the benchmark, indicating a very capable process.
- Process S: Cpk = 0.63, also below the benchmark and hence not capable.
- Process T: Cpk = 1.52, which is above the benchmark, suggesting that the process is capable.
Therefore, Process R and Process T are the two processes that are capable.