The data given in worksheet “Problem 6” in the “Data” file contains the percent

Question

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

Explanation / Answer

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

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