A gear has been designed to have a diameter of 3 inches. The standard deviation of the process is 0.5 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean, μ, μ±20, and at μ ± 30. Determine if the process shown is in control or out of control. Explain. Diameter (inches) 5- 3- Gears 11 3 4 5 6 7 8 9 10 11 Observation number Is the process in control or out of control? Select all that apply. A. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. B. Out of control, because there are nine consecutive points either above or below the mean. C. Out of control, because a point lies more than three standard deviations beyond the mean. D. In control, because none of the three warning signals detected a change.

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A gear has been designed to have a diameter of 3 inches. The
standard deviation of the process is 0.5 inch. A control chart is
shown. Each chart has horizontal lines drawn at the mean, μ,
μ ±20, and at μ ± 30. Determine if the process shown is in control
or out of control. Explain.
Diameter (inches)
Gears
1
T
0 1 2 3 4 5 6 7 8 9 10 11
Observation number
Is the process in control or out of control? Select all that
apply.
A.
Out of control, because two out
of three consecutive points lie
more than two standard
deviations from the mean.
B. Out of control, because there
are nine consecutive points
either above or below the mean.
C. Out of control, because
a point lies more than three
standard deviations beyond the mean.
D. In control, because none of the
three warning signals detected a change.
Transcribed Image Text:A gear has been designed to have a diameter of 3 inches. The standard deviation of the process is 0.5 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean, μ, μ ±20, and at μ ± 30. Determine if the process shown is in control or out of control. Explain. Diameter (inches) Gears 1 T 0 1 2 3 4 5 6 7 8 9 10 11 Observation number Is the process in control or out of control? Select all that apply. A. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. B. Out of control, because there are nine consecutive points either above or below the mean. C. Out of control, because a point lies more than three standard deviations beyond the mean. D. In control, because none of the three warning signals detected a change.
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