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)

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)

Solution

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 =