A liquid-dispensing machine has been designed to fill bottles with 1.0 later of

Question

A liquid-dispensing machine has been designed to fill bottles with 1.0 later of liquid. The standard deviation of the process is0.2 liter. A control chart is shown. The chart has horizontal lines drawn at the mean, mu, at mu plusminus 2 sigma, and at mu plusminus 3 sigma. Determine if the process shown is in control or out of control. explain. Is the process in control or out of control? Choose the correct answer below. a. Out of control, because two out of three consecutive points lie more than two standard deviations from the mean. B. In control because none of the three warring signals detected a change. C. Out of control because a point lies more than three standard deviations from the mean. D. Out of control because there are nine consecutive points either above or below the mean.

Explanation / Answer

This process is in control because no point is crossing the line of 2 standard deviations. There are 3 warning signals for which the deviation is high but those three points are also within the limit of 2 standard deviations.

So,

This process is in control because non of the three warning signals detected a change.

Option B is correct.

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