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20-01-2023
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A quality control analyst takes 20 samples of size 200 each from the output of a final assembly line. The items in each sample are inspected, and the number of defectives in each sample recorded. The results are as follows: Sample nmber Number of defectives Sample nmber Number of defectives 12 8 : 15 26 % 13 # 18 19 20 10 (a) Basing YOur estimate of the population mean OHl these results, compute the values of the central line and 2-sigma control limits for chart for fraction defective (p-chart) which the analyst wants to maintain at the assembly line. Assume that the sample size will remain at 200. b) Now, suppose that some time after the chart has been established, a sample of 300 items is taken and found to contain 25 defectives. Does this result suggest that a satisfactory population mean is O iS not being maintained? What is YOur opinion?'

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