Exam 21: Statistical Process Control

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A malfunctioning valve in a filling machine can create assignable variation.

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A process capability index Cp of 1.0 describes a production where the difference in the specification limits is equal to 6 standard errors.

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We construct a p chart to track the ____________________ of defective units in a series of samples.

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Statistical process control allows us to detect ____________________ variation only.

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In statistical process control,a Type II error occurs if we conclude that the process is in control when it actually isn't.

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Control limits for the p chart are typically placed so that they are 3 standard errors above and below the centerline.

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A control chart used to monitor a process whose results are categorized as either defective or nondefective is called a(n)____________________.

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A production facility produces 75 units per hour and uses an A production facility produces 75 units per hour and uses an   chart to monitor its quality.The control limits are seat at 2.5 standard errors from the mean.On average,how many units will be produced until the control chart signals that the process is out of control,when it is in fact under control? chart to monitor its quality.The control limits are seat at 2.5 standard errors from the mean.On average,how many units will be produced until the control chart signals that the process is out of control,when it is in fact under control?

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40 Samples Production ​ The mean of the sample means and the pooled standard deviation of 40 samples of size 8 taken from a production process under control are  40 Samples Production  ​ The mean of the sample means and the pooled standard deviation of 40 samples of size 8 taken from a production process under control are   ,and S = 14.5,respectively. ​ ​ -{40 Samples Production Narrative} Compute the zone boundaries for the   chart. ,and S = 14.5,respectively. ​ ​ -{40 Samples Production Narrative} Compute the zone boundaries for the  40 Samples Production  ​ The mean of the sample means and the pooled standard deviation of 40 samples of size 8 taken from a production process under control are   ,and S = 14.5,respectively. ​ ​ -{40 Samples Production Narrative} Compute the zone boundaries for the   chart. chart.

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The The   chart helps with questions about whether the process is producing the correct or acceptable mean. chart helps with questions about whether the process is producing the correct or acceptable mean.

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Which of the following elements affects the chance of making a Type II error?

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An An   chart for a normally distributed random variable has control limits set at ±3 standard errors from the centerline.One sample mean falls outside the control limits when the process is actually under control.The probability that this happened by chance is: chart for a normally distributed random variable has control limits set at ±3 standard errors from the centerline.One sample mean falls outside the control limits when the process is actually under control.The probability that this happened by chance is:

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Assume that the control limits of an Assume that the control limits of an   chart are defined as 2 standard errors above and below the centerline.Calculate the probability that a sample mean falls outside the control limits when the process is in fact under control. chart are defined as 2 standard errors above and below the centerline.Calculate the probability that a sample mean falls outside the control limits when the process is in fact under control.

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Chance variation ____________________ product quality and ____________________ costs.

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What is the average run length (ARL)until an What is the average run length (ARL)until an   control chart signals a false alarm if the control limits are set at ±3 standard errors from the centerline? control chart signals a false alarm if the control limits are set at ±3 standard errors from the centerline?

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Assignable variation is caused by specific events or factors that are frequently temporary.

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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} Plot the sample means on the   chart. ,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} Plot the sample means on the   chart. ​ ​ -{25 Samples Production Narrative} Plot the sample means on the 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} Plot the sample means on the   chart. chart.

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A trend indicates there is a slow and steady shift in the ____________________ of a process distribution.

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To determine whether the process distribution standard deviation has changed,we use a(n):

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Control charts for variables are appropriate whenever we are interested in monitoring measurements,such as weights,diameters,or temperature.

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