Step 3 (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Ap chart is a control chart that is used for proportion-defective data....


Step 3<br>(b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each<br>sample has 100 calls.<br>Ap chart is a control chart that is used for proportion-defective data. The upper control limit, UCL, and lower<br>control limit, LCL, are calculated as follows where p is the sample proportion of defective items and o- is the<br>standard error of the proportion based on the samples of size n.<br>UCL = p + 30-<br>LCL %3D р — Зо- where<br>Р(1 — р)<br>0- =<br>p<br>If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is<br>calculated to be a negative value, then it is set to 0.<br>The sample proportion of calls not resulting in a satisfactory outcome was found to be p =<br>0.051. There were<br>10 samples of 100 calls each, so we have n =<br>Substitute these values in the formula for the upper control limit, rounding the result to four decimal places.<br>UCL =<br>p + 30-<br>p(1 – p)<br>= p + 3<br>0.051(1 – 0.051)<br>= 0.051 + 3<br>Submit<br>Skip (you cannot come back)<br>

Extracted text: Step 3 (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Ap chart is a control chart that is used for proportion-defective data. The upper control limit, UCL, and lower control limit, LCL, are calculated as follows where p is the sample proportion of defective items and o- is the standard error of the proportion based on the samples of size n. UCL = p + 30- LCL %3D р — Зо- where Р(1 — р) 0- = p If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is calculated to be a negative value, then it is set to 0. The sample proportion of calls not resulting in a satisfactory outcome was found to be p = 0.051. There were 10 samples of 100 calls each, so we have n = Substitute these values in the formula for the upper control limit, rounding the result to four decimal places. UCL = p + 30- p(1 – p) = p + 3 0.051(1 – 0.051) = 0.051 + 3 Submit Skip (you cannot come back)

Jun 05, 2022
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