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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) 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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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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