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HW5-Solutions

# HW5-Solutions - Homework#4(Solutions Problem 7.1 m m n 100...

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Homework #4 (Solutions) Problem 7.1 1 1 117 100; 20; 117; 0.0585 20(100) (1 ) 0.0585(1 0.0585) UCL 3 0.0585 3 0.1289 100 (1 ) 0.0585(1 0.0585) LCL 3 0.0585 3 0.0585 0.0704 0 100 m i m i i i p p D n m D p mn p p p n p p p n MTB > Stat > Control Charts > Attributes Charts > P Test Results for P Chart of Ex7.1Num TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 12

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7.1 continued Sample 12 is out-of-control, so remove from control limit calculation: 1 1 102 100; 19; 102; 0.0537 19(100) 0.0537(1 0.0537) UCL 0.0537 3 0.1213 100 0.0537(1 0.0537) LCL 0.0537 3 0.0537 0.0676 0 100 m i m i i i p p D n m D p mn MTB > Stat > Control Charts > Attributes Charts > P Test Results for P Chart of Ex7.1Num TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 12
Problem 7.3 1 1 1 1 10; 1000; 60; 60 1000 0.06 m m m m i i i i i i i i m n D p D n UCL 3 (1 ) and LCL max{0, 3 (1 ) } i i i i p p p n p p p n As an example, for n = 80: 1 1 1 1 UCL 3 (1 ) 0.06 3 0.06(1 0.06) 80 0.1397 LCL 3 (1 ) 0.06 3 0.06(1 0.06) 80 0.06 0.0797 0 p p p n p p p n

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HW5-Solutions - Homework#4(Solutions Problem 7.1 m m n 100...

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