Deck 14: Statistical Process Control

ملء الشاشة (f)
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سؤال
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px> 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. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px>
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سؤال
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.
سؤال
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px> 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. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px>
سؤال
 <div style=padding-top: 35px>
سؤال
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.
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
Describe an R chart and give an example. What does it attempt to monitor?
سؤال
Sketch a control chart that indicates that a process is not statistically stable due to the run of 8 rule.
سؤال
Describe a run chart and give an example. Refer to the values on each of the axes as you describe the run chart.
سؤال
Are control charts based on actual behavior or on desired behavior? Give an example to illustrate the difference
between the two types of behavior.
سؤال
Use the given process data to construct a control chart for p. If the weight of cereal in a particular packet is less than
14 ounces, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets
and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below. Use the given process data to construct a control chart for p. If the weight of cereal in a particular packet is less than 14 ounces, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below.  <div style=padding-top: 35px>
سؤال
 <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
Construct a run chart for individual values corresponding to the given data. 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. Construct a run chart for individual values corresponding to the given data. 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.  <div style=padding-top: 35px>
سؤال
Examine the given run chart or control chart and determine whether the process is within statistical control. If it
is not, identity which of the three out-of-statistical-control criteria apply. A run chart for individual values W is
shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If
so, describe the pattern. Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identity which of the three out-of-statistical-control criteria apply. A run chart for individual values W is shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If so, describe the pattern.  <div style=padding-top: 35px>
سؤال
Use the given process data to construct a control chart for p. A manufacturer monitors the level of defects in the
television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of
defects is recorded. The results for 12 consecutive weeks are shown below. Use the given process data to construct a control chart for p. A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.  <div style=padding-top: 35px>
سؤال
Describe the three criteria used to determine if a control chart indicates a process which is not statistically stable.
سؤال
  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.  <div style=padding-top: 35px> 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.   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.  <div style=padding-top: 35px>
سؤال
Provide an appropriate response. Describe what process data are. Why are process data important to
businesses? What is a common goal of businesses using quality control?
سؤال
A control chart for attributes is to be constructed. Which process would have wider control limits, a process
which has been having a 5% rate of nonconforming items, or a process which has been having a 10% of
nonconforming items? Assume that both processes have the same sample sizes. For a given sample size, would
it be easier to detect a shift from 5% to 10% or a shift from 10% to 15%? Explain your reasoning.
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
Use the given process data to construct a control chart for p. 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. Use the given process data to construct a control chart for p. 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.  <div style=padding-top: 35px>
سؤال
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.
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
 <div style=padding-top: 35px>
سؤال
Sketch a run chart that that indicates that a process is not statistically stable due to increasing variation.
سؤال
Describe the three criteria used to determine if a control chart indicates a process which is not statistically stable.
سؤال
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px> 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. Construct an R chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
Control charts are used to monitor changing characteristics of data over ________.

A) time
B) speed
C) distance
D) space
سؤال
Construct an Construct an   chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px> chart and determine whether the process variation is within statistical control. Construct an   chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px> 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. Construct an   chart and determine whether the process variation is within statistical control.   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.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
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.
سؤال
 <div style=padding-top: 35px>
سؤال
A control chart for A control chart for   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.  <div style=padding-top: 35px> 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 control chart for   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.  <div style=padding-top: 35px>
سؤال
Describe a p chart and give an example. What does it attempt to monitor?
سؤال
________ data are data arranged according to some sequence. They are a measurement of a characteristic or good or services that result from some combination of equipment, people, materials, methods, and conditions.

A) Process
B) Service
C) Material
D) Sequential
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
Which of the following is not one of the criteria for determining if a control chart indicates that a process is not statistically stable?

A) Decreasing variation
B) Downward trend
C) Upward shift
D) Exceptional value
سؤال
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control. <div style=padding-top: 35px>

A) The process is within statistical control.
B) The process is not within statistical control.
سؤال
Which type of chart does not have control limits?

A) x chart
B) p chart
C) R chart
D) Run chart
سؤال
The centerline for a control chart for R consists of ________.

A) the median
B) the mean of the sample data
C) the standard deviation
D) the mean of the sample ranges
سؤال
R charts are used to monitor ________.

A) proportions
B) variation
C) correlation
D) means
سؤال
 <div style=padding-top: 35px>
سؤال
Use the given process data to construct a control chart for p. A candy manufacturer considers a cracked piece of candy to be a defect. Each day 100 candies are randomly selected and checked for cracks. The numbers of defects for 20
Consecutive days are given below. <strong>Use the given process data to construct a control chart for p. A candy manufacturer considers a cracked piece of candy to be a defect. Each day 100 candies are randomly selected and checked for cracks. The numbers of defects for 20 Consecutive days are given below.   What is the value of the center line?</strong> A) 10 B) 1.32 C) 6.6 D) 0.066 <div style=padding-top: 35px> What is the value of the center line?

A) 10
B) 1.32
C) 6.6
D) 0.066
سؤال
________ variation results from causes that can be identified.

A) Identifiable
B) Assignable
C) Random
D) Definable
سؤال
A control chart for A control chart for   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.  <div style=padding-top: 35px> 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 control chart for   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.  <div style=padding-top: 35px>
سؤال
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 <strong>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   ?  </strong> A) 19.935 milliliters B) 0.380 milliliters C) 20.000 milliliters D) 20.212 milliliters <div style=padding-top: 35px> ? <strong>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   ?  </strong> A) 19.935 milliliters B) 0.380 milliliters C) 20.000 milliliters D) 20.212 milliliters <div style=padding-top: 35px>

A) 19.935 milliliters
B) 0.380 milliliters
C) 20.000 milliliters
D) 20.212 milliliters
سؤال
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control. <div style=padding-top: 35px>

A) The process is within statistical control.
B) The process is not within statistical control.
سؤال
A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in
The table below. Construct an R chart to determine whether the process is in statistical control. <strong>A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in The table below. Construct an R chart to determine whether the process is in statistical control.    </strong> A) The process is not within statistical control. B) The process is within statistical control. <div style=padding-top: 35px> <strong>A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in The table below. Construct an R chart to determine whether the process is in statistical control.    </strong> A) The process is not within statistical control. B) The process is within statistical control. <div style=padding-top: 35px>

A) The process is not within statistical control.
B) The process is within statistical control.
سؤال
Which graph using individual data values instead of a process characteristic?

A) R chart
B) Run chart
C) <strong>Which graph using individual data values instead of a process characteristic?</strong> A) R chart B) Run chart C)   D) p chart <div style=padding-top: 35px>
D) p chart
سؤال
Use the given process data to construct a control chart for p. 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. <strong>Use the given process data to construct a control chart for p. 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.   What is the value of the upper control limit?</strong> A) 0.0622 B) 0.0783 C) 1 D) 6.2 <div style=padding-top: 35px> What is the value of the upper control limit?

A) 0.0622
B) 0.0783
C) 1
D) 6.2
سؤال
A control chart for A control chart for   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.  <div style=padding-top: 35px> 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 control chart for   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.  <div style=padding-top: 35px>
سؤال
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control. <div style=padding-top: 35px>

A) The process is within statistical control.
B) The process is not within statistical control.
سؤال
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control. <div style=padding-top: 35px>

A) The process is within statistical control.
B) The process is not within statistical control.
سؤال
A ________ is a sequential plot of individual data values over time. One axis is used for the data values, and the other axis is used for the time sequence.

A) flow chart
B) run chart
C) process chart
D) time-process chart
سؤال
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.
What would be the value of the centerline that would be used in creating an R chart? <strong>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. What would be the value of the centerline that would be used in creating an R chart?  </strong> A) 11.000 pounds B) 12.8000 pounds C) 50 pounds D) 49.567 pounds <div style=padding-top: 35px>

A) 11.000 pounds
B) 12.8000 pounds
C) 50 pounds
D) 49.567 pounds
سؤال
Which type of chart would be best for monitoring the proportion of items that are defective?

A) p chart
B) Run chart
C) <strong>Which type of chart would be best for monitoring the proportion of items that are defective?</strong> A) p chart B) Run chart C)   D) R chart <div style=padding-top: 35px>
D) R chart
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
A control chart for A control chart for   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.  <div style=padding-top: 35px> 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 control chart for   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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
A control chart for monitoring variation and center can be based on standard deviations instead of on ranges.
An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  <div style=padding-top: 35px> (the
mean of the sample standard deviations) and control limits at A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  <div style=padding-top: 35px> , where A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  <div style=padding-top: 35px> are found in the
Control Chart Constants table. Construct an s chart for the data below.
A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard
deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive
days are shown in the table below. A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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. 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.  <div style=padding-top: 35px>
سؤال
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 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.  <div style=padding-top: 35px>
سؤال
A control chart for A control chart for   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.  <div style=padding-top: 35px> 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 control chart for   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.  <div style=padding-top: 35px>
سؤال
A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television
sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive
weeks are shown below. A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.  <div style=padding-top: 35px>
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Deck 14: Statistical Process Control
1
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  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. Construct an R chart and determine whether the process variation is within statistical control.   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.
2
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.
Random variation is due to chance, the variation inherent in any process that is not capable of producing
each good or service exactly the same way every time. Assignable variation results from causes that can
be identified. Examples may vary.
3
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  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. Construct an R chart and determine whether the process variation is within statistical control.   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.
The process appears to be within statistical control. The process appears to be within statistical control.
4
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5
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.
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6
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. 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.
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7
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 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.
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8
Describe an R chart and give an example. What does it attempt to monitor?
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9
Sketch a control chart that indicates that a process is not statistically stable due to the run of 8 rule.
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10
Describe a run chart and give an example. Refer to the values on each of the axes as you describe the run chart.
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11
Are control charts based on actual behavior or on desired behavior? Give an example to illustrate the difference
between the two types of behavior.
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12
Use the given process data to construct a control chart for p. If the weight of cereal in a particular packet is less than
14 ounces, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets
and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below. Use the given process data to construct a control chart for p. If the weight of cereal in a particular packet is less than 14 ounces, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below.
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13
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14
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. 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.
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15
Construct a run chart for individual values corresponding to the given data. 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. Construct a run chart for individual values corresponding to the given data. 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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16
Examine the given run chart or control chart and determine whether the process is within statistical control. If it
is not, identity which of the three out-of-statistical-control criteria apply. A run chart for individual values W is
shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If
so, describe the pattern. Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identity which of the three out-of-statistical-control criteria apply. A run chart for individual values W is shown below. Does there appear to be a pattern suggesting that the process is not within statistical control? If so, describe the pattern.
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17
Use the given process data to construct a control chart for p. A manufacturer monitors the level of defects in the
television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of
defects is recorded. The results for 12 consecutive weeks are shown below. Use the given process data to construct a control chart for p. A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.
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18
Describe the three criteria used to determine if a control chart indicates a process which is not statistically stable.
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19
  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.  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.   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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20
Provide an appropriate response. Describe what process data are. Why are process data important to
businesses? What is a common goal of businesses using quality control?
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21
A control chart for attributes is to be constructed. Which process would have wider control limits, a process
which has been having a 5% rate of nonconforming items, or a process which has been having a 10% of
nonconforming items? Assume that both processes have the same sample sizes. For a given sample size, would
it be easier to detect a shift from 5% to 10% or a shift from 10% to 15%? Explain your reasoning.
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22
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. 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.
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23
Use the given process data to construct a control chart for p. 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. Use the given process data to construct a control chart for p. 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.
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24
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.
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25
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 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.
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26
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27
Sketch a run chart that that indicates that a process is not statistically stable due to increasing variation.
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28
Describe the three criteria used to determine if a control chart indicates a process which is not statistically stable.
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29
Construct an R chart and determine whether the process variation is within statistical control. Construct an R chart and determine whether the process variation is within statistical control.   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.  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. Construct an R chart and determine whether the process variation is within statistical control.   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.
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30
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. 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.
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31
Control charts are used to monitor changing characteristics of data over ________.

A) time
B) speed
C) distance
D) space
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32
Construct an Construct an   chart and determine whether the process variation is within statistical control.   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.  chart and determine whether the process variation is within statistical control. Construct an   chart and determine whether the process variation is within statistical control.   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.  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. Construct an   chart and determine whether the process variation is within statistical control.   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.
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33
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 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.
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34
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.
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35
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36
A control chart for A control chart for   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.  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 control chart for   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.
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37
Describe a p chart and give an example. What does it attempt to monitor?
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38
________ data are data arranged according to some sequence. They are a measurement of a characteristic or good or services that result from some combination of equipment, people, materials, methods, and conditions.

A) Process
B) Service
C) Material
D) Sequential
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39
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. 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.
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40
Which of the following is not one of the criteria for determining if a control chart indicates that a process is not statistically stable?

A) Decreasing variation
B) Downward trend
C) Upward shift
D) Exceptional value
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41
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control.

A) The process is within statistical control.
B) The process is not within statistical control.
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42
Which type of chart does not have control limits?

A) x chart
B) p chart
C) R chart
D) Run chart
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43
The centerline for a control chart for R consists of ________.

A) the median
B) the mean of the sample data
C) the standard deviation
D) the mean of the sample ranges
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44
R charts are used to monitor ________.

A) proportions
B) variation
C) correlation
D) means
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45
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46
Use the given process data to construct a control chart for p. A candy manufacturer considers a cracked piece of candy to be a defect. Each day 100 candies are randomly selected and checked for cracks. The numbers of defects for 20
Consecutive days are given below. <strong>Use the given process data to construct a control chart for p. A candy manufacturer considers a cracked piece of candy to be a defect. Each day 100 candies are randomly selected and checked for cracks. The numbers of defects for 20 Consecutive days are given below.   What is the value of the center line?</strong> A) 10 B) 1.32 C) 6.6 D) 0.066 What is the value of the center line?

A) 10
B) 1.32
C) 6.6
D) 0.066
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47
________ variation results from causes that can be identified.

A) Identifiable
B) Assignable
C) Random
D) Definable
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48
A control chart for A control chart for   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.  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 control chart for   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.
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49
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 <strong>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   ?  </strong> A) 19.935 milliliters B) 0.380 milliliters C) 20.000 milliliters D) 20.212 milliliters ? <strong>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   ?  </strong> A) 19.935 milliliters B) 0.380 milliliters C) 20.000 milliliters D) 20.212 milliliters

A) 19.935 milliliters
B) 0.380 milliliters
C) 20.000 milliliters
D) 20.212 milliliters
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50
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control.

A) The process is within statistical control.
B) The process is not within statistical control.
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51
A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in
The table below. Construct an R chart to determine whether the process is in statistical control. <strong>A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in The table below. Construct an R chart to determine whether the process is in statistical control.    </strong> A) The process is not within statistical control. B) The process is within statistical control. <strong>A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in The table below. Construct an R chart to determine whether the process is in statistical control.    </strong> A) The process is not within statistical control. B) The process is within statistical control.

A) The process is not within statistical control.
B) The process is within statistical control.
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52
Which graph using individual data values instead of a process characteristic?

A) R chart
B) Run chart
C) <strong>Which graph using individual data values instead of a process characteristic?</strong> A) R chart B) Run chart C)   D) p chart
D) p chart
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53
Use the given process data to construct a control chart for p. 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. <strong>Use the given process data to construct a control chart for p. 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.   What is the value of the upper control limit?</strong> A) 0.0622 B) 0.0783 C) 1 D) 6.2 What is the value of the upper control limit?

A) 0.0622
B) 0.0783
C) 1
D) 6.2
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54
A control chart for A control chart for   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.  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 control chart for   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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55
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control.

A) The process is within statistical control.
B) The process is not within statistical control.
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56
Examine the given run chart or control chart and determine whether the process is within statistical control. <strong>Examine the given run chart or control chart and determine whether the process is within statistical control.  </strong> A) The process is within statistical control. B) The process is not within statistical control.

A) The process is within statistical control.
B) The process is not within statistical control.
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57
A ________ is a sequential plot of individual data values over time. One axis is used for the data values, and the other axis is used for the time sequence.

A) flow chart
B) run chart
C) process chart
D) time-process chart
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58
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.
What would be the value of the centerline that would be used in creating an R chart? <strong>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. What would be the value of the centerline that would be used in creating an R chart?  </strong> A) 11.000 pounds B) 12.8000 pounds C) 50 pounds D) 49.567 pounds

A) 11.000 pounds
B) 12.8000 pounds
C) 50 pounds
D) 49.567 pounds
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59
Which type of chart would be best for monitoring the proportion of items that are defective?

A) p chart
B) Run chart
C) <strong>Which type of chart would be best for monitoring the proportion of items that are defective?</strong> A) p chart B) Run chart C)   D) R chart
D) R chart
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60
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 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.
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61
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. 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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62
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. 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.
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63
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. 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.
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64
A control chart for A control chart for   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.  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 control chart for   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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65
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. 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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66
A control chart for monitoring variation and center can be based on standard deviations instead of on ranges.
An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  (the
mean of the sample standard deviations) and control limits at A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  , where A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.  are found in the
Control Chart Constants table. Construct an s chart for the data below.
A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard
deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive
days are shown in the table below. A control chart for monitoring variation and center can be based on standard deviations instead of on ranges. An s chart for monitoring variation is made by plotting sample standard deviations with a centerline at   (the mean of the sample standard deviations) and control limits at   , where   are found in the Control Chart Constants table. Construct an s chart for the data below. A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean, standard deviation, and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for 12 consecutive days are shown in the table below.
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67
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 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.
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68
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. 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.
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69
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. 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.
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70
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. 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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71
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 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.
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72
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. 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.
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73
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. 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.
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74
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. 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.
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75
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 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.
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76
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. 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.
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77
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. 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.
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78
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 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.
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79
A control chart for A control chart for   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.  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 control chart for   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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80
A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television
sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive
weeks are shown below. A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.
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