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Exam 14: Statistical Process Control

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Question 31

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A control chart for $\overline { \mathrm { X } }$ is shown below. Determine whether the process mean is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of a statistically stable mean.

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Process mean is not within sta...

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Question 32

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A machine is supposed to fill boxes to a weight of 50 pounds. Every 30 minutes a sample of four boxes is tested; the results are given below.

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Question 33

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A drugstore considers a wait of more than 5 minutes to be a defect. Each week 100 customers are randomly selected and timed at the checkout line. The numbers of defects for 20 consecutive weeks are given below. $\begin{array} { l l l l l l l l l l l l l l l l l l l l } 4 & 4 & 5 & 5 & 5 & 5 & 5 & 6 & 6 & 6 & 6 & 12 & 6 & 6 & 6 & 7 & 6 & 7 & 8 & 7\end{array}$

Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.

Construct a run chart for individual values corresponding to the given data. A machine that is supposed to produce ball bearings with a diameter of 7 millimeters yields the following data from a test of 5 ball bearings every 20 minutes.

Examine the given run chart or control chart and determine whether the process is within statistical control.

Describe the three criteria used to determine if a control chart indicates a process which is not statistically stable.

Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.

Describe a p chart and give an example. What does it attempt to monitor?

Consider process data consisting of the amounts of potato chips (in ounces) in randomly selected bags of chips. The process is to be monitored with $\bar { x }$ control charts based on samples of 50 bags randomly selected each day for 15 consecutive days of production. What does $\bar { x }$ denote?

A machine is supposed to fill cans that contain 12 ounces. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below.

Define statistically stable (or "within statistical control"). Show examples of run charts which illustrate processes which are not statistically controlled. Discuss the pattern which indicates the process is not statistically controlled for each example.

A control chart for $\bar { x }$ is shown below. Determine whether the process mean is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of a statistically stable mean.

A run chart for individual values is shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If so, describe the pattern.

Provide an appropriate response. A common goal of quality control is to reduce variation in a product or service. List and describe the two types of variability. Give an example of each.

A machine that is supposed to fill small bottles to contain 20 milliliters yields the following data from a test of 4 bottles every hour. What would be the centerline for a control chart for $\overline { \mathrm { X } }$ ?

A control chart for $\overline { \mathrm { x } }$ s shown below. Determine whether the process mean is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of a statistically stable mean.

A run chart for individual values is shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If so, describe the pattern.

A control chart for R is shown below. Determine whether the process variation is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of statistically stable variation.

A control chart for $\bar { x }$ s shown below. Determine whether the process mean is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of a statistically stable mean.