A process is in statistical control with and The control chart uses a sample size of n...

A process is in statistical control with and The control chart uses a sample size of n = 3. Specifications are at 42 ± 4. The quality characteristic is normally distributed.

What conditions should we check to ensure that conclusions from a capability analysis are correct?

Estimate the potential capability of the process.

Estimate the actual capability of the process.

How much improvement in ppm could be made in process performance if the mean could be centered at the nominal value?

Expert Solution

milcah answered 1 year ago

A process using a p-chart with L=3 has an in-control fraction defective of p=0.01. Sample size...

A process using a p-chart with L=3 has an in-control fraction defective of p=0.01. Sample size is 300. What is the probability of detecting a shift to an out-of-control value of p=0.05 for the first time on the second sample following the shift?

Question with regards to Statistical Process Control. Control chart systems can operate on two basic methods...

Question with regards to Statistical Process Control. Control chart systems can operate on two basic methods of measurement. State these two methods and briefly distinguish between them, giving three examples of industrial processes where each might be applied. Specify an appropriate sampling procedure in each case.

Simple random sampling uses a sample of size n from a population of size N to...

Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 52 bank accounts, we want to take a random sample of four accounts in order to learn about the population. How many different random samples of four accounts are possible?

What are statistical process control methods?

The following xbar and s charts based on n=4 have shown statistical control: Xba Chart: UCL=710,...

The following xbar and s charts based on n=4 have shown statistical control: Xba Chart: UCL=710, CL=700, LCL=690, s chart- UCL=18.08, CL=7.979, LCL=0, A)Estimate the process parameters mean and sigma (standard deviation). B)If the specifications are at 705+/-15, and the process output is normally distributed, estimate the fraction non conforming. C)For the Xbar chart, find the probability of a type I error, assuming sigma is constant. D)Suppose the process mean shifts to 693 and the standard deviation simulatneously shifts to...

A process is in control and normally distributed with ? control chart limits of 45 and...

A process is in control and normally distributed with ? control chart limits of 45 and 15. The subgroup size is 4. Suppose the process variance suddenly triples while process mean remains unchanged. What is the probability that the first subsequent subgroup average will fall outside the control limits? What are the ? probability and ARL? Suppose the process variance suddenly triples while process mean shifts downward to 10. What are the β probability and ARL now?

Honda uses statistical process control to monitor and improve a variety of processes. Employees collect data,...

Honda uses statistical process control to monitor and improve a variety of processes. Employees collect data, and then analyze it using statistical process control charts. They can make adjustments if needed. The statistical process control charts enable workers to understand precisely how processes are working and anticipate problems before they occur. One interesting use is in monitoring the effort required to close a door. Honda monitors the speed of the door required to make it latch by using a special...

1. Utilizing the sample size chart, what would be the minimum sample size for the following...

1. Utilizing the sample size chart, what would be the minimum sample size for the following situations? a. one sample test ES = .8,*a = .05/2, 1- B = .90 b. two sample test (independent) ES = .8, *a = .01, 1- B = .80 c. two sample test (independent) ES = .2, *a = .05/2, 1- B = .95 d. one sample test ES = .5, *a = .01, 1- B = .80 e. two sample test ES =...

A researcher uses an ANOVA to compare nine treatment conditions with a sample size of n...

A researcher uses an ANOVA to compare nine treatment conditions with a sample size of n = 13 in each treatment. For this analysis find the degrees of freedom. What is df(treatment)? This is sometimes referred to as the “numerator degrees of freedom.” What is df(error)? This is sometimes referred to as the “denominator degrees of freedom.” If the scenario was changed so that there were still nine treatments, but there were different sample sizes for each treatment (a.k.a. an...

In quality control, statistical process control (SPC ) is often employed to analyze the process capability...

In quality control, statistical process control (SPC ) is often employed to analyze the process capability in manufacturing or service operations. Explain the following with an example each : What is a p chart ? What is a c chart ? There are 3 machines in your factory which can produce a ruler. The rulers as produced has a spread in length between 12.5 thru 12.4 inch. The standard deviation of the 3 machines are * 0.15 * 0.09 * 0.13...

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