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# Hui Fan - 2 There are no two out of three consecutive...

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Hui Fan IE 330 Homework for Chapter 16 16-2, 16-6, 16-10, 16-14, 16-20, 16-32, 16-38, 16-50 16-6 X-bar and Range - Initial Study Charting Problem 16-8 X-bar | Range ----- | ----- UCL: + 3.0 sigma = 7.44253 | UCL: + 3.0 sigma = 2.9153 Centerline = 6.2836 | Centerline = 1.1328 LCL: - 3.0 sigma = 5.12467 | LCL: - 3.0 sigma = 0 | out of limits = 0 | out of limits = 0 Estimated process mean = 6.2836 process sigma = 0.669108 mean Range = 1.1328 (a) Because there are no points outside the limits, so it is in statistical control. (b) Because the statistical is in control, so there is no necessary to eliminate. 16-10 1. There is no points plot outside 3-sigma control limits.

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Unformatted text preview: 2. There are no two out of three consecutive points plots beyond a 2-sigma limit. 3. There are four out of five consecutive points plot beyond the distance of 1-sigma from the center line. 4. There are no eight consecutive points plot on one side of the center line. 16-14 (a)The is no point beyond or below the limit, so it is in control (b) μ=x=15.99 σ=mr/d=1.19/1.128=1.05 16-32 (a) (b)There is no point outside the limit, so it is in control. 16-50 (a) There is no point outside the limit, so it is in control. (b) (104-100)/8 = 0.5 σ When h= 4 with the shift 0.5 APL=26.6...
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