A paper mill wants to design a control chart to monitor whether its machinery is

Question

A paper mill wants to design a control chart to monitor whether its machinery is producing its industrial size spools of paper within the correct weight variance. The mill intends to use the chart to see if modifications need to be made to its machinery. To start the process, the mill collected data regarding the number of paper spools that were not produced with the correct weight limit over a 14 day period. The company typically process 30 units per day, but due to the extra labor cost and limitations of moving the heavy spools, a sample of 10 spools per day is taken during the 14 day period. From all the samples taken, 12 defective spools were observed.

The first steps in constructing the control chart is to first calculate the overall fraction defective from all samples and then calculate the sample standard deviation.

What is the sample standard deviation in this example?

Answers:

0.0527

0.0885

0.0857

0.0511

please show work

0.0527

0.0885

0.0857

0.0511

Explanation / Answer

12/(14*10) = 0.0857 (B)

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