First shift gathered the data from many samples each containing 109 observations. They calculated that p=0.040041 Calculate the control limits for a 98% confidence interval. (Keep five decimal places in your answer)
Expert Answer
The given data is
pbar = 0.040041
n = 109 observations
Confidence interval = 98%
z for 98% confidence = 2.33
Now, we calculate the control limits as below :
Upper Control Limit UCL = pbar + z *sqrt (pbar*(1-pbar)/n)) = 0.040041 + 2.33 * sqrt(0.040041*(1-0.040041)/109)
So, UCL = 0.08380
Lower Control Limit LCL = pbar – z *sqrt (pbar*(1-pbar)/n)) = 0.040041 – 2.33 * sqrt(0.040041*(1-0.040041)/109)
So, LCL = – 0.00371