=OTIME SERIES AND QUALITY CONTROLInterpreting a control chartEach day, an electronics manufacturer creates thousands of small fanmotors for computers. The speed (i.e., revolutions per minute) withwhich the motors run must be in a certain range. Motors that run tooslowly will not cool a computer properly; motors that run too fast willwear out prematurely. The following R chart monitors the amount ofvariability of the speed (in rpm's) of subgroups of 7 motors that havebeen selected each hour for testing:113Does the rule give an "outRule # of control" signal? (Checkthe box that applies)O YesO No23O Yes7Yes9R chartO No11• Rule 1: One or more points fall outside one of the chart's controllimitsO No• Rule 2: Nine points in a row are on the same side of the chart'scenterline• Rule 3: Six points in a row are increasing (or decreasing).13Subgroup numberFor a process such as this to be "in statistical control," only randompatterns of points should appear on the control chart. The process is"not in statistical control" when any non-random patterns appear on thechart. Three commonly used tests or rules for signaling that a processmay not be in statistical control are:15Using these three rules, identify which (if any) of the rules gives an "outof control" signal, and indicate the subgroup number at which the signalis first given.What is the subgroupnumber at which thesignal is first given?170/319X21S60-6EEE TIME SERIES AND QUALITY CONTROLInterpreting a control chartQUYUTIONA company that makes bolts and rivets used in assembling airplanesmonitors the quality of its bolts by measuring the torque required tounloosen a bolt. When installed correctly, the bolts must be tight enough towithstand heavy vibration during flights but must be loose enough so thatthey can be removed periodically for maintenance. The following x-barchart monitors the amount of torque required to loosen subgroups of 7 boltsthat have been selected each hour for testing:x-bar chartDoes the rule give an "outRule of control signal? (Checkthe box that applies)YesNoNoNoFor a process such as this to be "in statistical control," only randompatterns of points should appear on the control chart. The process is "not instatistical control" when any non-random patterns appear on the chart.Three commonly used tests or rules for signaling that a process may not bein 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'scenterline• Rule 3: Six points in a row are increasing (or decreasing).12Using these three rules, identify which (if any) of the rules gives an "out ofcontrol" signal, and indicate the subgroup number at which the signal isfirst given.YesⒸ Yes11Subgroup number1EXPLANATIONThe purpose of a control chart is to detect whether or not a process is "instatistical control," i.e., when the only factors influencing the process aresmall, unimportant random variations called chance causes by qualitycontrol practitioners. Any non-random behavior in a chart is taken to be anindication that some larger, more important factors are at work that shouldbe investigated and, if possible, eliminated. Such factors are calledassignable causes or special causes.Does the rule give an "outRule of control signal? (Checkthe box that applies)YesNoYes2There are many types of non-random patterns that one can look for in acontrol chart. The three rules given in this problem are among the mostcommonly used:313What is the subgroupnumber at which thesignal is first given?15• Rule 1. Since the control limits are placed at a distance of threestandard errors on either side of the chart's centerline, any points thatfall outside the control limits have very low probabilities of occurrenceand, therefore, are taken to be possible indications of process problems.• Rule 2. Random points should be equally likely to fall on either side ofthe chart's centerline. When too many successive points fall on thesame side (either all above or all below) the chart's centerline, it ispossible that some special cause is at work.More Practice1719• Rule 3. Random points may show short movements in one direction oranother, but not long trends. When too many successive points show anupward or a downward trend, then it is possible that a special causemay be the reason.In this problem, looking at the x-bar chart, we see that• Rule gives a signal and the signal is first given at subgroup 10.Rule 2 gives a signal and the signal is first given at subgroup 1.Rule 3 gives no signals of process problems.ANSWERYesNoNoWhat is the subgroupnumber at which thesignal is first given?10Evelyn V1U986

Question

=OTIME SERIES AND QUALITY CONTROLInterpreting a control chartEach day, an electronics manufacturer creates thousands of small fanmotors for computers. The speed (i.e., revolutions per minute) withwhich the motors run must be in a certain range. Motors that run tooslowly will not cool a computer properly; motors that run too fast willwear out prematurely. The following R chart monitors the amount ofvariability of the speed (in rpm's) of subgroups of 7 motors that havebeen selected each hour for testing:113Does the rule give an &#34;outRule # of control&#34; signal? (Checkthe box that applies)O YesO No23O Yes7Yes9R chartO No11• Rule 1: One or more points fall outside one of the chart's controllimitsO No• Rule 2: Nine points in a row are on the same side of the chart'scenterline• Rule 3: Six points in a row are increasing (or decreasing).13Subgroup numberFor a process such as this to be &#34;in statistical control,&#34; only randompatterns of points should appear on the control chart. The process is&#34;not in statistical control&#34; when any non-random patterns appear on thechart. Three commonly used tests or rules for signaling that a processmay not be in statistical control are:15Using these three rules, identify which (if any) of the rules gives an &#34;outof control&#34; signal, and indicate the subgroup number at which the signalis first given.What is the subgroupnumber at which thesignal is first given?170/319X21S60-6EEE TIME SERIES AND QUALITY CONTROLInterpreting a control chartQUYUTIONA company that makes bolts and rivets used in assembling airplanesmonitors the quality of its bolts by measuring the torque required tounloosen a bolt. When installed correctly, the bolts must be tight enough towithstand heavy vibration during flights but must be loose enough so thatthey can be removed periodically for maintenance. The following x-barchart monitors the amount of torque required to loosen subgroups of 7 boltsthat have been selected each hour for testing:x-bar chartDoes the rule give an &#34;outRule of control signal? (Checkthe box that applies)YesNoNoNoFor a process such as this to be &#34;in statistical control,&#34; only randompatterns of points should appear on the control chart. The process is &#34;not instatistical control&#34; when any non-random patterns appear on the chart.Three commonly used tests or rules for signaling that a process may not bein 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'scenterline• Rule 3: Six points in a row are increasing (or decreasing).12Using these three rules, identify which (if any) of the rules gives an &#34;out ofcontrol&#34; signal, and indicate the subgroup number at which the signal isfirst given.YesⒸ Yes11Subgroup number1EXPLANATIONThe purpose of a control chart is to detect whether or not a process is &#34;instatistical control,&#34; i.e., when the only factors influencing the process aresmall, unimportant random variations called chance causes by qualitycontrol practitioners. Any non-random behavior in a chart is taken to be anindication that some larger, more important factors are at work that shouldbe investigated and, if possible, eliminated. Such factors are calledassignable causes or special causes.Does the rule give an &#34;outRule of control signal? (Checkthe box that applies)YesNoYes2There are many types of non-random patterns that one can look for in acontrol chart. The three rules given in this problem are among the mostcommonly used:313What is the subgroupnumber at which thesignal is first given?15• Rule 1. Since the control limits are placed at a distance of threestandard errors on either side of the chart's centerline, any points thatfall outside the control limits have very low probabilities of occurrenceand, therefore, are taken to be possible indications of process problems.• Rule 2. Random points should be equally likely to fall on either side ofthe chart's centerline. When too many successive points fall on thesame side (either all above or all below) the chart's centerline, it ispossible that some special cause is at work.More Practice1719• Rule 3. Random points may show short movements in one direction oranother, but not long trends. When too many successive points show anupward or a downward trend, then it is possible that a special causemay be the reason.In this problem, looking at the x-bar chart, we see that• Rule gives a signal and the signal is first given at subgroup 10.Rule 2 gives a signal and the signal is first given at subgroup 1.Rule 3 gives no signals of process problems.ANSWERYesNoNoWhat is the subgroupnumber at which thesignal is first given?10Evelyn V1U986

Accepted Answer

Given information:
The R-chart for the amount of variability of the speed is given.
There are also…