A gear has been designed to have a diameter of 4 inches. The standard deviation of the process is 0.4 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean, μ, ±2, and at ± 3o. Determine if the process shown is in control or out of control. Explain. Diameter (inches) Gears G Is the process in control or out of control? Select all that apply. A. Out of control, because there are nine consecutive points either above or below the mean. B. In control, because none of the three warning signals detected a change. C. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. D. Out of control, because a point lies more than three standard deviations beyond the mean. 0 1 2 3 4 5 6 7 8 9 10 11 Observation number Clear all Check answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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A gear has been designed to have a diameter of 4 inches. The standard deviation of the process
is 0.4 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean, μ, ±2,
and at ± 3o. Determine if the process shown is in control or out of control. Explain.
Diameter (inches)
Gears
G
Is the process in control or out of control? Select all that apply.
A. Out of control, because there are nine consecutive points
either above or below the mean.
B. In control, because none of the three warning signals detected a change.
C. Out of control, because two out of three consecutive points lie
more than two standard deviations from the mean.
D. Out of control, because a point lies more than three
standard deviations beyond the mean.
0 1 2 3 4 5 6 7 8 9 10 11
Observation number
Clear all
Check answer
Transcribed Image Text:A gear has been designed to have a diameter of 4 inches. The standard deviation of the process is 0.4 inch. A control chart is shown. Each chart has horizontal lines drawn at the mean, μ, ±2, and at ± 3o. Determine if the process shown is in control or out of control. Explain. Diameter (inches) Gears G Is the process in control or out of control? Select all that apply. A. Out of control, because there are nine consecutive points either above or below the mean. B. In control, because none of the three warning signals detected a change. C. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. D. Out of control, because a point lies more than three standard deviations beyond the mean. 0 1 2 3 4 5 6 7 8 9 10 11 Observation number Clear all Check answer
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