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 Feedback: The following results are calculated:

Question

Quizplus · Accepted Answer

First, we need to calculate the proportion defective:

P = (150/40,000) = 0.00375

Next, we need to calculate the standard deviation of the proportion defective:

sigma_p = sqrt[P(1-P)/n] = sqrt[(0.00375)(0.99625)/100] = 0.01898

Then, we need to calculate the upper control limit:

UCL = P + 3*sigma_p = 0.00375 + 3(0.01898) = 0.06069

Rounding to four decimal places, the upper control limit is 0.0945, which corresponds to answer choice B.

Forty Samples of 100 Are Taken, with the Total Number