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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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. ...
View Full Document

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.

Ask a homework question - tutors are online