In 20 samples,there are 80 units defective.If each sample consists of 100 units,find the appropriate UCL and the LCL for the p chart.
A) [.0269,.0531]
B) [.0204,.0596]
C) [.0380,.0420]
D) [0,.0988]

Question

Quizplus · Accepted Answer

The proportion defective (p) is 80/2000 = 0.04. The standard deviation is sqrt(p(1-p)/n) = sqrt(0.04*0.96/100) = 0.0196. UCL = p + 3*SD = 0.04 + 3*0.0196 = 0.0988. LCL = p - 3*SD = 0.04 - 3*0.0196 = 0, since LCL cannot be negative.

In 20 Samples,there Are 80 Units Defective