QUESTION:

1. The sample is NOT in control. What sample(s) was outside of the limits, ie below LCL or above UCL?

DATA:

Sample Size	Number of defectives	Sample size	Proportion of Defectives
1	37	100	36.6%
2	27	100	27.2%
3	41	100	40.9%
4	23	100	23.1%
5	36	100	36.3%
6	78	100	78.1%
	242	600	40.4%

Lower Control Limit

0.404 - 3* to the square root of 0.404*0.6964/100

The LCL = 0.3545 (35.45%)

Upper Control Limit

0.404 + 3* to the square root of 0.404*0.6964/100

The UCL = 0.4526 (45.26%)