Question

In: Statistics and Probability

A process has a Cpk = 1.35 and is centered between the specification limits. (a) What...

A process has a Cpk = 1.35 and is centered between the specification limits. (a) What is the DPM of the process? (b) If the mean of the process increases by 1.5σ the DPM would be?

Solutions

Expert Solution

Here we know it very well that :

Cpk < 1, process is referred to as incapable of producing the product within specifications, and

Cpk ≥ 1, process is referred to as capable of producing the product within specifications.

we know that Cpk = 1.33 for  

and

The Process yield is the complement of process fallout and is approximately equal to the area under the PDF:

For 1.33 it is given , and that is approximately equal for 1.35 also

So, we have:

Process yield = 99.99%

1) DPM = 63

2) For change in mean to

Area under the probability density function  .

Process yield = 99.38%

and DPM = 6209

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image


Related Solutions

What is the difference between control limits and specification limits?
What is the difference between control limits and specification limits?
Suppose that the specification limits for a production process are LSL = 0.02 and USL =...
Suppose that the specification limits for a production process are LSL = 0.02 and USL = 0.10, with the nominal specification being 0.06. a)_____________ What is the sigma level if the process standard deviation is 0.01. b)_____________ If the process is centered, what is the DPMO?
Briefly discuss control limits versus specification limits.
Briefly discuss control limits versus specification limits.
R2.82: If two processes have the same value of Cp but process one has a Cpk...
R2.82: If two processes have the same value of Cp but process one has a Cpk value of 1.33 and process two has a Cpk value of 0.67, what can be said about these processes? A. The second is better centered than the first B. The first is not capable, the second is C. The first is in control, the second isn’t D. The first is better centered than the second
a process in statistical control has a mean of .3119 and specification limit of .307 to...
a process in statistical control has a mean of .3119 and specification limit of .307 to .317. if the standard deviation of the process is .0013, what percent of the process output is expected to be below the specification limit?
What is the difference between a prescriptive specification and a performance standard for the production of...
What is the difference between a prescriptive specification and a performance standard for the production of wood structural panels?
What are the limits of comity? What are the limits of extraterritoriality
What are the limits of comity? What are the limits of extraterritoriality
Process Capability (Cpk and Cp) The operations manager of an insurance claims- processing department wants to...
Process Capability (Cpk and Cp) The operations manager of an insurance claims- processing department wants to determine the claims-processing capability of the department. Claims usually take a minimum of four days to handle. The company has a commitment to handle all claims within 10 days. On the average, claims are processed in eight days and processing has a standard deviation of one day. a. Compute Cp and Cpk for the claims-processing department. Based on these computations, should the claims department...
Is Bose's product development process customer centered?
Is Bose's product development process customer centered? Explain please identify the relevant concept for this question , discuss, apply to the case study(Company Case Bose: Better Products through Research)
Consider the bottle-filling process, which has a lower specification limit of 0.99 liter and an upper...
Consider the bottle-filling process, which has a lower specification limit of 0.99 liter and an upper specification limit of 1.01 liters. The standard deviation is 0.005 liter and the mean is 1 liter. The company wants to reduce its defective probability from 45,500 PPM to 1000 PPM. A. Determine the current Capability index. B. Determine the new aspired capability index. C. To what level would they have to reduce the standard deviation in the process to meet this target?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT