You want to determine the upper control line for a "p" chart for quality control purposes.You take several samples of a size of 100 items in your production process.From the samples you determine the fraction defective is 0.05 and the standard deviation is 0.01.If the desired confidence level is 99.7 percent,which of the following is the resulting UCL value for the line?
A)0.39
B)0.08
C)0.06
D)0.05
E)None of the above

Question

Quizplus · Accepted Answer

The upper control limit for a "p" chart is calculated using the formula:

UCL = p̂ + 3√(p̂(1-p̂)/n)

Where p̂ represents the proportion defective in the sample, n is the sample size, and √ represents the square root.

Plugging in the values given in the question, we get:

UCL = 0.05 + 3√(0.05(1-0.05)/100)

UCL = 0.05 + 0.03

UCL = 0.08

Therefore, the resulting UCL value for the line is 0.08, which corresponds to choice B.

You Want to Determine the Upper Control Line for a "P