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Manufacturers of small items such as bolts, springs, and connectors often use automatic testing machines to make a decision of whether a manufactured device functions properly or not. The machines give a simple "defective" or "non-defective" determination for each item tested and can test many items in a short period of time. The following p chart monitors the proportions of defective items in subgroups of 12500 items that have been selected each hour for testing: p chart 6. -6 -8 3 7 9 11 13 15 17 19 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). 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.

Manufacturers of small items such as bolts, springs, and connectors often use automatic testing machines to make a decision of whether a manufactured device functions properly or not. The machines give a simple "defective" or "non-defective" determination for each item tested and can test many items in a short period of time. The following p chart monitors the proportions of defective items in subgroups of 12500 items that have been selected each hour for testing: p chart 6. -6 -8 3 7 9 11 13 15 17 19 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). 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.

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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Manufacturers of small items such as bolts, springs, and connectors often use automatic testing machines to make a decision of whether a manufactured device functions properly or not. The machines give a simple "defective" or "non-defective" determination for each item tested and can test many items in a short period of time. The following p chart monitors the proportions of defective items in subgroups of 12500 items that have been selected each hour for testing: p chart 6. 6. 2 1 0. -1 -2 -3 -6 -7 -8 7 9. 11 13 15 17 19 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). 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.
Transcribed Image Text:Manufacturers of small items such as bolts, springs, and connectors often use automatic testing machines to make a decision of whether a manufactured device functions properly or not. The machines give a simple "defective" or "non-defective" determination for each item tested and can test many items in a short period of time. The following p chart monitors the proportions of defective items in subgroups of 12500 items that have been selected each hour for testing: p chart 6. 6. 2 1 0. -1 -2 -3 -6 -7 -8 7 9. 11 13 15 17 19 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). 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.
control" when any non-random patterns appear on the chart. Three commonly used tests or rules for sign patt should appear on th 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). Using these three rules, identify which (if any) of the rules gives an "out of control" signal, and indicate t Does the rule give an "out What is the subgroup Rule # of control" signal? (Check number at which the signal is first given? the box that applies) Yes O No O Yes O No O Yes O No 2. 3.
Transcribed Image Text:control" when any non-random patterns appear on the chart. Three commonly used tests or rules for sign patt should appear on th 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). Using these three rules, identify which (if any) of the rules gives an "out of control" signal, and indicate t Does the rule give an "out What is the subgroup Rule # of control" signal? (Check number at which the signal is first given? the box that applies) Yes O No O Yes O No O Yes O No 2. 3.
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