A useful attribute control chart for plotting the actual number of non-conformin

Question

A useful attribute control chart for plotting the actual number of non-conforming parts found during an inspection where at each inspection we sample a fixed number of parts is known as the: A X-bar and R charts B. p chart C. np chart D. c chart E. u chart The number of customers who are not satisfied with the service provided in a retail store was found for 100 samples of size 20. The sum of dissatisfied customers over all the samples was 83. If a control chart for the proportion of dissatisfied customers is built, what would be the upper control limit? A. 0.0415 B. 0.175 C. 0.83 D. 3.51 E. 4.15 A product with one or more defects is said to be a nonconformity. A True B. False

Explanation / Answer

Part I : a useful attribute control chart for plotting the actual number of non conforming parts found during an inspection where at each inspection we sample a fixed number of parts is known as
u chart

Part III True

Part II:

The number of customers who are not satisfied with the service provided in a retail store was found for 100 sample of size 20.

The sum of dissatisfied customers over all the sample as 83.

P= total defectives/total sample of observations = 83/20(100) = 0.0415

Upper control limit (UCL) = P+z sqrt [(p(1-p))/n] = 0.0415 + 2 sqrt [(.0415(1-.0415))/100] = 0.019*2 + 0.0415 = 0.83

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