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1. Suppose a process has been monitored daily for the last ten days and the number of machine failures each day was noted. Co

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Answer #1

Number of samples = 10

Sum of number of faliures = 8+23+6+10+12+14+9+11+29+12 = 134

C-bar = Sum of number of complaints/number of samples = 134/10 = 13.4

For 3 sigma control limit value of Z = 3

Upper specification limit = C-bar + [Z(√C-bar) ]= [13.4+(3 x √13.4)] = 13.4+(3×3.66) = 13.4+10.98 = 24.38

Lower specification limit = C-bar - [Z (√C-bar) ] = 13.4- [3(√13.4)] = 13.4-(3x3.66) = 13.4-10.98 = 2.42

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