Suppose that you have calculated the control limits for a x-bar chart to be the

Question

Suppose that you have calculated the control limits for a x-bar chart to be the following: LCL-0.2 and UCL 0.8 The data for the next four samples with three observations each are Observation 2 Observation 3 0.5 0.4 0.3 0.2 0.1 0.1 3 0.1 0.4 0.6 0.6 0.2 0.9 What conclusion can you make? O The mean of sample 2 is 0.4, therefore the process is out of control O The mean of sample 2 is 0.1, therefore the process is stil in contro O The mean of sample 2 is 04, therefore the process is stil in control O The mean of sample 2 is 0.1, therefore the process is out of control O The mean of sample 2 should be inckuded in the computation of a new UCL and LCL 4 Previous Next ?11

Explanation / Answer

In process control system, the value of the sample is expected to be within the range of LCL and UCL. This means in this example, the value of each of the sample means should not exceed 0.8 and should not be less than 0.2. The sample mean for the sample number 2 is (0.2+0.1+0.1)/3 = 0.13. This mean is less than the LCL value of 0.2. Thus it is out of control. Hence the correct answer is

The mean of sample 2 is 0.1, therefore the process is out of control.

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