Answer:
The value of Cpk is 0.83.
Explanation:
Given that,
Upper specification limits = 10 cm
lower specification limits = 8 cm
Mean = 9.5
Standard deviation = 0.2 cm
We need to calculate the process capability
Using formula of Cpk
[tex]Cpk=min(\dfrac{USL-mean}{3\times SD}, \dfrac{mean-LSL}{3\times SD})[/tex]
Put the value into the formula
[tex]Cpk=min(\dfrac{10-9.5}{3\times0.2}, \dfrac{9.5-8}{3\times0.2})[/tex]
[tex]Cpk=min(0.83,2.5)[/tex]
[tex]Cpk=0.83[/tex]
Hence, The value of Cpk is 0.83.
