Problem 1) A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, 7, is the average. 0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 MANE

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Problem 1) A statistical process control monitoring system samples the inside diameter of ball bearing
every hour. Measurements were taken every hour for 25 hours. The target thickness, 7, is the average.
0.992
1.015
0.988
0.996
1.015
1.000
0.989
0.994
1.018
0.997
1.020
1.007
1.006
0.982
1.001
0.992
1.020
0.993
0.978
0.984
0.990
1.015
0.983
1.011
0.987
a) What is the population standard deviation, o?
b) What are the Upper and Lower Action Line?
FIVER
c) What are the Upper and Lower Warning Line?
d) Using 3, what are the Upper and Lower Control limits?
e) Plot the Target Thickness and parts b)-d) in a chart using R.
f) Is this data in a process of control? How do you know? Explain your answer. If it is not, what are
some recommendations you can give to get the data back into a process of control.
h) Redo, the previous example using a CUSUM chart. Is the conclusion the same? If it is not in a process
of control, what are some recommendations you can give to get the data back into a process of control.
Transcribed Image Text:Problem 1) A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, 7, is the average. 0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 1.011 0.987 a) What is the population standard deviation, o? b) What are the Upper and Lower Action Line? FIVER c) What are the Upper and Lower Warning Line? d) Using 3, what are the Upper and Lower Control limits? e) Plot the Target Thickness and parts b)-d) in a chart using R. f) Is this data in a process of control? How do you know? Explain your answer. If it is not, what are some recommendations you can give to get the data back into a process of control. h) Redo, the previous example using a CUSUM chart. Is the conclusion the same? If it is not in a process of control, what are some recommendations you can give to get the data back into a process of control.
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