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 (in liters) 5 6 7 8 9 10 11 Observation number Q Is the process in control out of control? Choose the correct answer below. OA. Out of control, because there are nine consecutive points either above or below the mean. OB. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. OC. Out of control, because a point lies more than three standard deviations from the mean. OD. In control, because none of the three warning signals detected a change.

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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, u, at μ ±20, and at µ ± 30. Determine if the process
shown is in control or out of control. Explain.
Liquid Dispenser
Liquid dispensed (in liters)
H
5 6 7 8 9 10 11
Observation number
Is the process in control or out of control? Choose the
correct answer below.
O A. Out of control, because there
are nine consecutive points
either above or below the mean.
OB. Out of control, because two out
of three consecutive points lie
more than two standard
deviations from the mean.
OC. Out of control, because
a point lies more than three
standard deviations from the mean.
OD. In control, because none of the
three warning signals detected a change.
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, u, at μ ±20, and at µ ± 30. Determine if the process shown is in control or out of control. Explain. Liquid Dispenser Liquid dispensed (in liters) H 5 6 7 8 9 10 11 Observation number Is the process in control or out of control? Choose the correct answer below. O A. Out of control, because there are nine consecutive points either above or below the mean. OB. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. OC. Out of control, because a point lies more than three standard deviations from the mean. OD. In control, because none of the three warning signals detected a change.
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