Homework SourseThe data given in worksheet Problem 6 in the Data file conta
The data given in worksheet “Problem 6” in the “Data” file contains the percent of defects in samples of your product, from a random sample of 100 per hour, for 50 hours of production. Construct a control chart for percent defective per sample. Is the process in control?
Please show all work to justify final answer. Thanks for your help!
| 0.048293 |
| 0.044404 |
| 0.043056 |
| 0.049781 |
| 0.039292 |
| 0.057662 |
| 0.055914 |
| 0.033826 |
| 0.043489 |
| 0.055976 |
| 0.044816 |
| 0.054871 |
| 0.042317 |
| 0.049933 |
| 0.048271 |
| 0.046661 |
| 0.046521 |
| 0.036514 |
| 0.051751 |
| 0.040453 |
| 0.034857 |
| 0.053505 |
| 0.041152 |
| 0.042163 |
| 0.04439 |
| 0.052611 |
| 0.056325 |
| 0.066729 |
| 0.051029 |
| 0.049391 |
| 0.053005 |
| 0.04358 |
| 0.051725 |
| 0.046266 |
| 0.047189 |
| 0.056684 |
| 0.050807 |
| 0.039191 |
| 0.049434 |
| 0.04773 |
| 0.057549 |
| 0.062799 |
| 0.040134 |
| 0.070739 |
| 0.037749 |
| 0.055387 |
| 0.039263 |
| 0.039329 |
| 0.046263 |
| 0.036067 |
Solution
CL 0.04794
UCL=0.04794 + 3*sqrt(0.04794*(1-0.04794)/100))=0.112031
LCL=0.04794 - 3*sqrt(0.04794*(1-0.04794)/100))=0
