Q5. Sampling of 90 retainer rings are examined for the fraction non-conforming. The results for thirty consecutive days are given below:
Day |
Fraction non-conforming |
1 |
0.12 |
2 |
0.09 |
3 |
0.03 |
4 |
0.08 |
5 |
0.14 |
6 |
0.06 |
7 |
0.17 |
8 |
0.14 |
9 |
0.15 |
10 |
0.17 |
11 |
0.15 |
12 |
0.14 |
13 |
0.13 |
14 |
0.02 |
15 |
0.09 |
16 |
0.15 |
17 |
0.17 |
18 |
0.07 |
19 |
0.03 |
20 |
0.12 |
21 |
0.12 |
22 |
0.12 |
23 |
0.09 |
24 |
0.08 |
25 |
0.02 |
26 |
0.03 |
27 |
0.15 |
28 |
0.13 |
29 |
0.16 |
30 |
0.13 |
Using Minitab, construct the appropriate control chart to investigate if the there is a state of statistical control with respect to the fraction non-conforming.
The control chart is:
The process is in a state of statistical control with respect to the fraction nonconforming.
The control limits are:
Sample size | 90 |
Number of samples | 30 |
Proportion defective | |
Upper Control Limit, UCL | 0.2066 |
Center | 0.1083 |
Lower Control Limit, LCL | 0.0100 |
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