Question: During a certain time interval, you took one hundred samples. You collected the results and used a three-sigma control chart (p-chart) for the sample proportion

During a certain time interval, you took one hundred samples. You collected the results and used a three-sigma control chart (p-chart) for the sample proportion defects.

Sample # of defectives Sample # of defectives
1 4 11 8
2 10 12 12
3 12 13 9
4 3 14 10
5 9 15 21
6 11 16 10
7 10 17 8
8 22 18 12
9 13 19 10
10 10 20 16

Is process under control and why?

The process is not in control, because sample 8 and sample 15, both are above upper limit control 0.22 > 0.2 and 0.21 > 0.2 respectively.

Everything is in balance. The process in under control, because all samples are within the limits.

The process is not in control, because one of the samples is above upper limit control 0.21 > 0.2 on the p-chart.

The process is still under control and capable, because samples 1 and 4 are just a bit out of control limits, which is fine.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!