Forty samples of 100 are taken,with the total number of defective units being 150.What is the upper control limit of the three sigma (z = 3)p-chart?
A)0.0375
B)0.0945
C)0.165
D)0.793

Question

Quizplus · Accepted Answer

The upper control limit (UCL) for a p-chart is calculated using the formula UCL = p̄ + z√(p̄(1-p̄)/n), where p̄ is the average proportion defective, z is the z-value for the desired confidence level (in this case, 3 for three sigma), and n is the sample size. Here, p̄ = 150/(40*100) = 0.0375, and n = 100. Plugging these values into the formula gives UCL = 0.0375 + 3√(0.0375*(1-0.0375)/100) = 0.0375 + 0.057 = 0.0945.

Forty Samples of 100 Are Taken,with the Total Number of Defective