Assume that 25 samples of 50 each are taken and the total number of defectives is 34.Find the LCL and UCL for the p chart.
A) [.0134,.0410]
B) [0,.0962]
C) [.0042,.0502]
D) [.0239,.0304]

Question

Quizplus · Accepted Answer

The proportion of defectives (p) is 34/(25*50) = 0.0272. The standard deviation (σp) is sqrt[(p(1-p))/n] = sqrt[(0.0272*0.9728)/50] = 0.0235. The UCL is p + 3σp = 0.0272 + 3*0.0235 = 0.0962, and the LCL is max(0, p - 3σp) = max(0, 0.0272 - 3*0.0235) = 0.

Assume That 25 Samples of 50 Each Are Taken and the Total