A liquid-dispensing machine has been designed to fill bottles with 1.0 liter of liquid. The standard deviation of the process is 0.2 liter. A control chart is shown. The chart has horizontal lines drawn at the mean, μ, at μ ±20, and at μ±30. Determine if the process shown is in control or out of control. Explain. Liquid Dispenser Q Liquid dispensed (inters) 1- 0- 2 3 4 5 6 7 8 Observation number G Is the process in control or out of control? Choose the correct answer OA. In control, because none of the three warning signals detected change. OB. Out of control, because a point lies more than three standard deviations from the mean. C. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. OD. Out of control, because there are nine consecutive points. either above or below the mean.

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A liquid-dispensing machine has been designed to fill bottles with 1.0 liter of
liquid. The standard deviation of the process is 0.2 liter. A control chart is
shown. The chart has horizontal lines drawn at the mean, μ, at μ ±20, and at
μ±30. Determine if the process shown is in control or out of control. Explain.
Liquid Dispenser
Liquid dispensed (inters)
0-
Click to select your answer.
4 5 6 7 8 9 10
Observation number
G
Is the process in control or out of control? Choose the correct answer below.
OA. In control, because none of the three warning signals detected a
change.
OB. Out of control, because a point lies more than three
standard deviations from the mean.
OC. Out of control, because two out of three consecutive points lie
more than two standard deviations from the mean.
OD. Out of control, because there are nine consecutive points
either above or below the mean.
Transcribed Image Text:A liquid-dispensing machine has been designed to fill bottles with 1.0 liter of liquid. The standard deviation of the process is 0.2 liter. A control chart is shown. The chart has horizontal lines drawn at the mean, μ, at μ ±20, and at μ±30. Determine if the process shown is in control or out of control. Explain. Liquid Dispenser Liquid dispensed (inters) 0- Click to select your answer. 4 5 6 7 8 9 10 Observation number G Is the process in control or out of control? Choose the correct answer below. OA. In control, because none of the three warning signals detected a change. OB. Out of control, because a point lies more than three standard deviations from the mean. OC. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. OD. Out of control, because there are nine consecutive points either above or below the mean.
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