Daily samples of 150 sand filters are removed from Pentair Corporation's assembly line and inspected for...
Daily samples of 150 sand filters are removed from Pentair Corporation's assembly line and inspected for defects. Over the past 22 days, the following information has been gathered. Develop a (95.45% confidence level) p-chart.
| Day | Number of Defective Filters | Day | Number of Defective Filters |
| 1 | 7 | 12 | 9 |
| 2 | 15 | 13 | 11 |
| 3 | 11 | 14 | 20 |
| 4 | 17 | 15 | 21 |
| 5 | 12 | 16 | 12 |
| 6 | 4 | 17 | 6 |
| 7 | 5 | 18 | 13 |
| 8 | 10 | 19 | 4 |
| 9 | 6 | 20 | 6 |
| 10 | 16 | 21 | 7 |
| 11 | 7 | 22 |
10 |
a. What is the p-bar?
b. What is the standard deviation of the p?
c. What is the UCLp = , and the LCLp =
d. Is the process in control? If not, which samples are out of control?
Homework Answers
Z VALUE FOR 95.4% CONFIDENCE = 2
SAMPLE SIZE = 150
NUMBER OF SAMPLES TAKEN = 22
P-BAR = TOTAL NUMBER OF DEFECTS / (SAMPLE SIZE * NUMBER OF
SAMPLES = 229 / (150 * 22) = 0.069
STDEV = SQRT((PBAR * (1 - PBAR)) / SAMPLE SIZE = SQRT((0.069 * (1 -
0.069)) / 150 = 0.021
UCL = PBAR + (Z * STDEV) = 0.069 + (2 * 0.021) = 0.111
LCL = PBAR - (Z * STDEV) = 0.069 - (2 * 0.021) = 0.027
2. N0, THE PROCESS IS NOT IN CONTROL SINCE SAMPLE 4, 6, 14, 15, 19 ARE OUTSIDE THE CONTROL LIMIT.
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