mont4e_sm_ch16_sec06

# mont4e_sm_ch16_sec06 - Section 16-6 16-11 16-13 a...

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Unformatted text preview: Section 16-6 16-11 16-13 a) Individuals and MR(2) - Initial Study -----------------------------------------------------------------------------Charting Problem 16-13 Ind.x ----UCL: + 3.0 sigma = 60.8887 Centerline = 53.05 LCL: 3.0 sigma = 45.2113 | MR(2) | ----| UCL: + 3.0 sigma = 9.63382 | Centerline = 2.94737 | LCL: 3.0 sigma = 0 | out of limits = 0 | out of limits = 0 -----------------------------------------------------------------------------Chart: Both Normalize: No 20 subgroups, size 1 Estimated process mean = 53.05 process sigma = 2.61292 mean MR = 2.94737 0 subgroups excluded There are no points beyond the control limits. The process appears to be in control. I and MR Chart for hardness Individual Value 60 55 Mean=53.05 50 45 Subgroup 0 10 20 LCL=45.21 UCL=60.89 10 Moving Range UCL=9.630 5 R=2.947 0 LCL=0 b) Estimated process mean and standard deviation ^ = x = 53.05 ^ = mr 2.94737 = = 2.613 d2 1.128 16-14 a) The process appears to be in statistical control. There are no points beyond the control limits. 16-12 I and MR Chart for wafer 20 19 18 17 16 15 14 13 12 0 10 20 30 Individual Value UCL=19.15 Mean=15.99 LCL=12.83 Subgroup 4 Moving Range UCL=3.887 3 2 1 0 R=1.190 LCL=0 b) Estimated process mean and standard deviation ^ = x = 15.99 ^ = mr 1.190 = = 1.05 d 2 1.128 16-15 a) Ind.x and MR(2) - Initial Study -----------------------------------------------------------------------------Charting diameter Ind.x ----UCL: + 3.0 sigma = 10.5358 Centerline = 10.0272 LCL: 3.0 sigma = 9.51856 | MR(2) | ----| UCL: + 3.0 sigma = 0.625123 | Centerline = 0.19125 | LCL: 3.0 sigma = 0 | out of limits = 0 | out of limits = 0 -----------------------------------------------------------------------------Chart: Both Normalize: No 25 subgroups, size 1 Estimated process mean = 10.0272 process sigma = 0.169548 mean MR(2) = 0.19125 0 subgroups excluded 16-13 I and MR Chart for Dia Individual Value 10.5 UCL=10.54 10.0 Mean=10.03 9.5 Subgroup 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0 5 10 15 20 25 LCL=9.519 Moving Range UCL=0.6249 R=0.1912 LCL=0 There are no points beyond the control limits. The process appears to be in control. b) Estimated process mean and standard deviation ^ = x = 10.0272 16-16 a) ^ = mr 0.19125 = = 0.16955 d2 1.128 Ind.x and MR(2) - Initial Study -------------------------------------------------------------------------------Charting Problem 16-16 Ind.x ----UCL: + 3.0 sigma = 552.112 Centerline = 500.6 LCL: 3.0 sigma = 449.088 | MR(2) | ----| UCL: + 3.0 sigma = 63.308 | Centerline = 19.3684 | LCL: 3.0 sigma = 0 | out of limits = 0 | out of limits = 0 -------------------------------------------------------------------------------Chart: Both Normalize: No 20 subgroups, size 1 Estimated process mean = 500.6 process sigma = 17.1706 mean MR(2) = 19.3684 0 subgroups excluded 16-14 I and MR Chart for viscosity Individual Value 550 UCL=552.1 500 Mean=500.6 450 0 10 20 LCL=449.1 Subgroup 70 60 50 40 30 20 10 0 Moving Range UCL=63.28 R=19.37 LCL=0 b) Estimated process mean and standard deviation ^ = x = 500.6 16-17 a) ^ = mr 19.3684 = = 17.17 d2 1.128 I-MR Chart of SIZE 140 Individual V alue 1 U C L=130.50 120 _ X=100.78 100 80 LC L=71.06 2 4 6 8 10 12 14 O bser vation 16 18 20 22 24 40 U C L=36.51 M oving Range 30 20 10 0 2 4 6 8 10 12 14 O bser vation 16 18 20 22 24 __ M R=11.18 LC L=0 Remove the out-of-control observation: 16-15 I-MR Chart of SIZE U C L=127.08 Individual V alue 120 100 _ X=99.48 80 LC L=71.88 2 4 6 8 10 12 14 O bser vation 16 18 20 22 24 U C L=33.91 30 M oving Range 20 __ M R=10.38 10 0 2 4 6 8 10 12 14 O bser vation 16 18 20 22 24 LC L=0 b) The estimated mean is 99.4792 and estimated standard deviation is 9.20059. ...
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## This note was uploaded on 10/12/2009 for the course IND E 315 taught by Professor Kailashkapur during the Spring '09 term at University of Washington.

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