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A quality inspector took five samples, each with four observations, of the length of time for glue to dry. The ana-lyst computed the mean of each sample and then computed the grand mean. All values are in minutes. Use this information to obtain three-sigma (i.e. z=3) control limits for means of future times. It is know from the previous experience that the standard deviation of the process is .02 minute.

Sample

1 2 3 4 5

Observation 1 12.11 12.15 12.09 12.12 12.09

2 12.10 12.12 12.09 12.10 12.14

3 12.11 12.10 12.11 12.08 12.13

4 12.08 12.11 12.15 12.10 12.12

Computed UCL

Computed LCL

If the standard deviation of the process is unknown, another approach is to use the sample range as a measure of process variability. Calculate the control limits for the above process using the sample range..

Computed UCL

Computed LCL

Using either set of the control limits above, is the process in our out of control?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9396045

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