Each day, an electronics manufacturer creates thousands of small fan motors for computers. The speed (i.e., revolutions per minute) with which the motors run must be in a certain range. Motors that run too slowly will not cool a computer properly; motors that run too fast will wear out prematurely. The following R chart monitors the amount of variability of the speed (in rpm's) of subgroups of 7 motors that have been selected each hour for testing: 1-01234545% 1 Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 2 3 O Yes 7 O Yes 9 O No 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 No R chart • 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). 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. . 0 0 13 What is the subgroup number at which the signal is first given? 0 15 17 19 21
Each day, an electronics manufacturer creates thousands of small fan motors for computers. The speed (i.e., revolutions per minute) with which the motors run must be in a certain range. Motors that run too slowly will not cool a computer properly; motors that run too fast will wear out prematurely. The following R chart monitors the amount of variability of the speed (in rpm's) of subgroups of 7 motors that have been selected each hour for testing: 1-01234545% 1 Does the rule give an "out Rule # of control" signal? (Check the box that applies) O Yes O No 1 2 3 O Yes 7 O Yes 9 O No 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 No R chart • 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). 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. . 0 0 13 What is the subgroup number at which the signal is first given? 0 15 17 19 21
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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Transcribed Image Text:Each day, an electronics manufacturer creates thousands of small fan
motors for computers. The speed (i.e., revolutions per minute) with
which the motors run must be in a certain range. Motors that run too
slowly will not cool a computer properly; motors that run too fast will
wear out prematurely. The following R chart monitors the amount of
variability of the speed (in rpm's) of subgroups of 7 motors that have
been selected each hour for testing:
1
1
3
2
Does the rule give an "out
Rule # of control" signal? (Check
the box that applies)
O Yes
O No
3
5
O Yes
13
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
7
• 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 No
R chart
9 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
15
What is the subgroup
number at which the
signal is first given?
0
17
19
X
21
S
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Given information:
The R-chart for the amount of variability of the speed is given.
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