QUESTION:

1. Achieve goals through planning and prioritization.

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

b. What measures could be taken now to address the data points that are out of control?

c. What recommendations would you suggest to optimize quality in future production?

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%)