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?

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

orchestra answered 11 months ago

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.

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

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)

Determine the process capability performance metrics using Minitab of a process that had a lower specification...

Determine the process capability performance metrics using Minitab of a process that had a lower specification of 2 and an upper specification of 16 with the following responses:

(1) C&A's potato chip filling process has a lower specification limit of 9.5 oz and an...

(1) C&A's potato chip filling process has a lower specification limit of 9.5 oz and an upper specification limit of 10.5 oz. The standard deviation is 0.3 oz. and the mean is 10 oz. What is the process capability index (Cp) for the chip filling process?(a) 0.56(b) 1.11(c) 0.33(d) 3.33 (2) Which of the following represents customer requirement from a process?(a) Sample size in control charts(b) USL and LSL(c) Process standard deviation(d) UCL and LCL (3) The mean of a...