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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: har chart

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: har chart

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Time Series and Quality Control TOPIC NAME Interpreting a control chart
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 9 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: Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 • Rule 1: One or more points fall outside one of the chart's control limits 2 • 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). 3 7 O Yes 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 Yes 13 O No 15 O No 17 19 What is the subgroup number at which the signal is first given? 0 0 -6
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 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 9 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: Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 • Rule 1: One or more points fall outside one of the chart's control limits 2 • 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). 3 7 O Yes 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 Yes 13 O No 15 O No 17 19 What is the subgroup number at which the signal is first given? 0 0 -6
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