Copyright

Estimate the process capability if specified tolerance is 30.4 and from a sample, it has been...

Question:

Estimate the process capability if specified tolerance is 30.4 and from a sample, it has been calculated that the mean X =31 and SD =0.5.

Process Capability:

The process capability is a method of manufacturing related to the customer requirements. It is the measure to find the process requirements. The process capability also determines the ability of a process.

Answer and Explanation:

Mean, {eq}\bar{x} = 31 {/eq}

Standard deviation, {eq}\sigma = 0.5 {/eq}


Tolerance is {eq}30\pm 4 {/eq}


{eq}LCL = 30- 4 = 26\\ UCL = 30+4 = 34 {/eq}


The process capability is defined as:

{eq}C_p = Min(\dfrac{\bar{x} - LCL}{3\sigma}, \dfrac{UCL - \bar{x}}{3\sigma})\\ C_p = Min(\dfrac{31 - 26}{3\times 0.5}, \dfrac{34 - 31}{3\times 0.5})\\ C_p = Min(10 \ , 6)\\ C_p = 6 {/eq}


Learn more about this topic:

Loading...
Process Capability: Definition & Elements

from Business 112: Operations Management

Chapter 4 / Lesson 5
1.1K

Related to this Question

Explore our homework questions and answers library