Protective coatings of plastic and metal are commonly used on manufactured goods to prevent wear and to add beauty to finished products. Coating flaws of various kinds, from small holes to large scratches, not only expose items to possible damage but also are unattractive to consumers. The following c chart monitors the numbers of surface flaws found on certain kitchen appliances. In this chart, 15 appliances are selected each hour, and the total number of coating flaw found on the collection of items is graphed on the chart. c chart 6543210678 7 1 1 2 3 Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No • 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). 5 7 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 Using these three rules, identify which (if any) of the rules gives an "ou of control" signal, and indicate the subgroup number at which the signa is first given. 9 What is the subgroup number at which the signal is first given? 11 0 □ X 6 0

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Chapter1: Starting With Matlab
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Protective coatings of plastic and metal are commonly used on
manufactured goods to prevent wear and to add beauty to finished
products. Coating flaws of various kinds, from small holes to large
scratches, not only expose items to possible damage but also are
unattractive to consumers. The following c chart monitors the numbers
of surface flaws found on certain kitchen appliances. In this chart, 15
appliances are selected each hour, and the total number of coating flaws
found on the collection of items is graphed on the chart.
c chart
7654321678
1
7
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:
1
Does the rule give an "out
Rule # of control" signal? (Check
the box that applies)
O Yes
No
2
• 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).
3
O Yes
3
O Yes
5
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.
No
O No
What is the subgroup
number at which the
signal is first given?
0
9
0
0
11
X
6
0
00
-6
Transcribed Image Text:Protective coatings of plastic and metal are commonly used on manufactured goods to prevent wear and to add beauty to finished products. Coating flaws of various kinds, from small holes to large scratches, not only expose items to possible damage but also are unattractive to consumers. The following c chart monitors the numbers of surface flaws found on certain kitchen appliances. In this chart, 15 appliances are selected each hour, and the total number of coating flaws found on the collection of items is graphed on the chart. c chart 7654321678 1 7 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: 1 Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes No 2 • 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). 3 O Yes 3 O Yes 5 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. No O No What is the subgroup number at which the signal is first given? 0 9 0 0 11 X 6 0 00 -6
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The objective is to use the three given rules and identify which of the rules gives an "out of control" signal and indicate the subgroup number at which the signal is first given.

 

 

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