Conversion table

Process sigma	DPMO (Shift=1.5)
6.0	3.4
5.9	5.4
5.8	8.5
5.7	13.4
5.6	20.7
5.5	31.7
5.4	48.1
5.3	72.4
5.2	107.8
5.1	159.1
5.0	232.7
4.9	337
4.8	483.5
4.7	687.2
4.6	967.7
4.5	1350
4.4	1866
4.3	2555
4.2	3467
4.1	4661
4.0	6210
3.9	8197
3.8	10724
3.7	13904
3.6	17865
3.5	22750
3.4	28717
3.3	35931
3.2	44567
3.1	54801
3.0	66811
2.9	80762
2.8	86809
2.7	115083
2.6	135687
2.5	158687
2.4	184108
2.3	211928
2.2	242071
2.1	274412
2.0	308770
1.9	344915
1.8	382572
1.7	421428
1.6	461140
1.5	501350
1.4	541694
1.3	581815
1.2	621378
1.1	660083
1.0	697672
0.9	733945
0.8	768671
0.7	802048
0.6	833804
0.5	864095
0.4	893050
0.3	920860
0.2	947765
0.1	974043

2. The number of defects found in 20 samples of 100 Frost Ice-cream Company flavors taken on a daily basis from a production line over a five-week period is given below.

Sample	Defects
1	3
2	8
3	6
4	9
5	7
6	1
7	9
8	3
9	6
10	7
11	11
12	14
13	7
14	8
15	4
16	5
17	2
18	4
19	6
20	1

1. Plot these data on a run chart, computing the average value (center line).
2. According to the concepts of Six-Sigma Quality, what the quality level for this process? (Use the conversion table provided.)
3. Do you suspect that any special causes are present? Why?