Final answer:
The capability ratio (Cp) for the process with given specifications is calculated using the formula, which results in a Cp value of 1.67.
Step-by-step explanation:
The capability ratio (Cp) is a measure of a process's ability to meet its specification limits. The formula to calculate the Cp is given by Cp = (USL - LSL) / (6 * standard deviation), where USL is the upper specification limit, and LSL is the lower specification limit.
Given the dimensional specifications of 2.000 +0.010, we can deduce that the USL is 2.010 and the LSL is 1.990. The standard deviation (σ) provided is 0.002.
Now we can substitute these values into the formula:
Cp = (2.010 - 1.990) / (6 * 0.002)
= 0.020 / 0.012
= 1.67
The capability ratio of this process is therefore 1.67.
Complete Question:
QUESTION: Calculate the capability ratio for a process with dimensional specifications of 2.000 +0.010 and standard deviation of 0.002. The formula for capability ratio is shown below:
Cp = (USL - LSL) / (6 * standard deviation)
Possible Answers:
1.33
0.67
1.67
0.33