Capability of an in-control process. A process is in

Chapter 13, Problem 58E

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QUESTION:

Capability of an in-control process. A process is in control with a normally distributed output distribution with mean 1,000 and standard deviation 100. The USL and LSL for the process are 1,020 and 980, respectively.

a. Assuming no changes in the behavior of the process, what percentage of the output will be unacceptable?

b. Find and interpret the \(C_p\) value of the process.

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QUESTION:

Capability of an in-control process. A process is in control with a normally distributed output distribution with mean 1,000 and standard deviation 100. The USL and LSL for the process are 1,020 and 980, respectively.

a. Assuming no changes in the behavior of the process, what percentage of the output will be unacceptable?

b. Find and interpret the \(C_p\) value of the process.

ANSWER:

Step 1 of 6

We are given the following information:

     1)  The process is within the control.

     2)  The process follows normal distribution with mean 1,000 and standard deviation

          100.

     3)  The USL and LSL of the process are 1,020, and 980 respectively.

We need to find the number of standard deviations away from the process mean is the

upper specification limit.

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