A company that makes bolts and rivets used in assembling airplanes monitors the quality of its bolts by measuring the torque required to unloosen a bolt. When installed correctly, the bolts must be tight enough to withstand heavy vibration during flights but must be loose enough so that they can be removed periodically for maintenance. The following x- bar chart monitors the amount of torque required to loosen subgroups of 7 bolts that have been selected each hour for testing: x-bar chart Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 2 3 Rule 1: One or more points fall outside one of the chart's control limits • Rule 2: Nine points in a row are on the same side of the chart's centerline • Rule 3: Six points in a row are increasing (or decreasing). O Yes 7 9 Subgroup number For a process such as this to be "in statistical control," only random patterns of points should appear on the control chart. The process is "not in statistical control" when any non-random patterns appear on the chart. Three commonly used tests or rules for signaling that a process may not be in statistical control are: O Yes O No 11 Using these three rules, identify which (if any) of the rules gives an "out of control" signal, and indicate the subgroup number at which the signal is first given. O No 13 What is the subgroup umber at which the signal is first given? 15 17 19 X 0 -6
A company that makes bolts and rivets used in assembling airplanes monitors the quality of its bolts by measuring the torque required to unloosen a bolt. When installed correctly, the bolts must be tight enough to withstand heavy vibration during flights but must be loose enough so that they can be removed periodically for maintenance. The following x- bar chart monitors the amount of torque required to loosen subgroups of 7 bolts that have been selected each hour for testing: x-bar chart Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 2 3 Rule 1: One or more points fall outside one of the chart's control limits • Rule 2: Nine points in a row are on the same side of the chart's centerline • Rule 3: Six points in a row are increasing (or decreasing). O Yes 7 9 Subgroup number For a process such as this to be "in statistical control," only random patterns of points should appear on the control chart. The process is "not in statistical control" when any non-random patterns appear on the chart. Three commonly used tests or rules for signaling that a process may not be in statistical control are: O Yes O No 11 Using these three rules, identify which (if any) of the rules gives an "out of control" signal, and indicate the subgroup number at which the signal is first given. O No 13 What is the subgroup umber at which the signal is first given? 15 17 19 X 0 -6
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 34PPS
Related questions
Question
![A company that makes bolts and rivets used in assembling airplanes
monitors the quality of its bolts by measuring the torque required to
unloosen a bolt. When installed correctly, the bolts must be tight enough
to withstand heavy vibration during flights but must be loose enough so
that they can be removed periodically for maintenance. The following
bar chart monitors the amount of torque required to loosen
of 7 bolts that have been selected each hour for testing:
x-
subgroups
x-bar chart
1
3
Does the rule give an "out
Rule # of control" signal? (Check
the box that applies)
O Yes
O No
2
3
O Yes
5
O Yes
11
Subgroup number
For a process such as this to be "in statistical control," only random
patterns of points should appear on the control chart. The process is
"not in statistical control" when any non-random patterns appear on the
chart. Three commonly used tests or rules for signaling that a process
may not be in statistical control are:
• Rule 1: One or more points fall outside one of the chart's control
limits
• Rule 2: Nine points in a row are on the same side of the chart's
centerline
• Rule 3: Six points in a row are increasing (or decreasing).
7
O No
9
Using these three rules, identify which (if any) of the rules gives an "out
of control" signal, and indicate the subgroup number at which the signal
is first given.
O No
13
15
17
What is the subgroup
umber at which the
signal is first given?
0
19
0
? ] 图 □ □](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd057c218-4bf0-4c43-8000-b0a150155278%2F46d95dfe-1242-41da-9fa3-5f090dc4a784%2F27fkdr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company that makes bolts and rivets used in assembling airplanes
monitors the quality of its bolts by measuring the torque required to
unloosen a bolt. When installed correctly, the bolts must be tight enough
to withstand heavy vibration during flights but must be loose enough so
that they can be removed periodically for maintenance. The following
bar chart monitors the amount of torque required to loosen
of 7 bolts that have been selected each hour for testing:
x-
subgroups
x-bar chart
1
3
Does the rule give an "out
Rule # of control" signal? (Check
the box that applies)
O Yes
O No
2
3
O Yes
5
O Yes
11
Subgroup number
For a process such as this to be "in statistical control," only random
patterns of points should appear on the control chart. The process is
"not in statistical control" when any non-random patterns appear on the
chart. Three commonly used tests or rules for signaling that a process
may not be in statistical control are:
• Rule 1: One or more points fall outside one of the chart's control
limits
• Rule 2: Nine points in a row are on the same side of the chart's
centerline
• Rule 3: Six points in a row are increasing (or decreasing).
7
O No
9
Using these three rules, identify which (if any) of the rules gives an "out
of control" signal, and indicate the subgroup number at which the signal
is first given.
O No
13
15
17
What is the subgroup
umber at which the
signal is first given?
0
19
0
? ] 图 □ □
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