Exam 21: Statistical Process Control

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Which of the following is an example of chance variation in a process?

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Assume a process has limits set at ±2.5 standard errors from the centerline.The average run length (ARL)is 81.What does this mean?

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In designing a control chart,the statistician must select a sample size and a sampling frequency.These decisions are based on which factors:

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When the purpose of sampling is to detect when a process becomes too variable,the control chart of choice will be an S chart.

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Describe what a Type I error is,and what its impact is,in terms of a production process.

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Discuss what we mean by assignable variation in a process and give an example.

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25 Samples Production 25 samples of size 4 were taken from a manufacturing process.The mean of the sample means and the pooled standard deviation are 25 Samples Production  25 samples of size 4 were taken from a manufacturing process.The mean of the sample means and the pooled standard deviation are   ,and S = 3.5,respectively.The sample means are listed below.   ​ ​ -{25 Samples Production Narrative} Is the process under control? Discuss. ,and S = 3.5,respectively.The sample means are listed below. 25 Samples Production  25 samples of size 4 were taken from a manufacturing process.The mean of the sample means and the pooled standard deviation are   ,and S = 3.5,respectively.The sample means are listed below.   ​ ​ -{25 Samples Production Narrative} Is the process under control? Discuss. ​ ​ -{25 Samples Production Narrative} Is the process under control? Discuss.

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To construct a To construct a   chart,estimate the mean of the process distribution using the mean of the sample means,denoted by: ____________________. chart,estimate the mean of the process distribution using the mean of the sample means,denoted by: ____________________.

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Diaper Delivery Wrap-M-Up,a Ft.Lauderdale diaper Service,has 10 delivery men who each deliver diapers to 50 customers every day.Wrap-M-Up decides to record the proportion of diapers delivered on time for a 10-day period and construct a p chart to see whether the proportion is too erratic.The data are shown below: Diaper Delivery  Wrap-M-Up,a Ft.Lauderdale diaper Service,has 10 delivery men who each deliver diapers to 50 customers every day.Wrap-M-Up decides to record the proportion of diapers delivered on time for a 10-day period and construct a p chart to see whether the proportion is too erratic.The data are shown below:   ​ ​ -{Diaper Delivery Narrative} Find the numerical value of the upper control limit for the p chart. ​ ​ -{Diaper Delivery Narrative} Find the numerical value of the upper control limit for the p chart.

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Chance variation was built into the produce when the production process was first set up.

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If a p chart finds fourteen sample proportions in a row that alternate up and down,this could be an example of assignable cause variation called a(n)____________________.

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How do we know when a process is in control?

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Sample proportions that are ____________________ than the lower control limit of a p chart indicate a change in the process that we would like to keep.

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Suppose you are producing a product implementing statistical process control. ​ a.Give an example of assignable variation that would create a level shift. b.Give an example of assignable variation that would create instability. c.Give an example of assignable variation that would create a trend. d.Give an example of assignable variation that would create a cycle.

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A new machine can cause a change in the mean of a process distribution.This is a result of a level shift.

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If a control chart finds the standard deviation in the means is increasing,this could be an indicator of assignable variation called ____________________.

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If a control chart finds fourteen points in a row that are alternating up and down,this is an example of assignable variation called a(n)____________________.

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For an For an   chart,the lower and upper control limits are usually set at three standard errors from the centerline. chart,the lower and upper control limits are usually set at three standard errors from the centerline.

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If the lower control limit for the p chart is negative,we set it equal to

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To determine whether the proportion of defectives is in line with specifications,we use a(n):

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