Homework Answers
a)
Total number of defectives = 37
p-bar = Total number of defectives/(no of samples * sample size) = 37/(10*100) = 0.037
UCL = p-bar + 3*sqrt((p-bar*(1-p-bar))/sample size)
= 0.037 + 3*sqrt((0.037*(1-0.037))/100)
= 0.093628526 = 0.094 (Rounded to 3 decimal places)
LCL = p-bar - 3*sqrt((p-bar*(1-p-bar))/sample size)
= 0.037 - 3*sqrt((0.037*(1-0.037))/100)
= -0.019628526 = 0
b)
Defect proportion for day 11 = no of defects/sample size = 6/100 =
0.06....In Control
Defect proportion for day 12 = no of defects/sample size = 13/100 = 0.13 .....Out of control (breaches UCL)
Defect proportion for day 13 = no of defects/sample size =
11/100 = 0.11 .....Out of control (breaches UCL)
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dont have any more informafoon to add besides rhis pther example of
tne type of problem
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