Chapter_8_Recommended_Homework_Solutions

# Chapter_8_Recommended_Homework_Solutions - Chapter 8...

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Chapter 8 Recommended Homework Solutions 8-4. 5476 . 3 ) 534 . 2 ( 4 . 1 r giving 534 . 2 d 4 . 1 d r 0 . 20 x 2 2 = = = = = 29 . 18 ) 5476 . 3 ( 483 . 0 0 . 20 r A CL LCL 0 . 20 CL 71 . 21 ) 5476 . 3 ( 483 . 0 0 . 20 r A CL UCL chart x 2 2 = - = - = = = + = + = 0 ) 5476 . 3 ( 0 r D LCL 5476 . 3 CL 11 . 7 ) 53476 . 3 ( 004 . 2 r D UCL chart R 3 4 = = = = = = = 8-5. a) 2 . 47 25 1180 r 28 . 306 25 7657 x = = = = 87 . 271 ) 2 . 47 ( 729 . 0 28 . 306 r A CL LCL 223 CL 69 . 340 ) 2 . 47 ( 729 . 0 28 . 306 r A CL UCL chart x 2 2 = - = - = = = + = + = 0 ) 2 . 47 ( 0 r D LCL 2 . 47 CL 71 . 107 ) 2 . 47 ( 282 . 2 r D UCL chart R 3 4 = = = = = = = b) 92 . 22 059 . 2 2 . 47 d r ˆ 28 . 306 x ˆ 2 = = = = = σ μ 8-6. a) 06237 . 0 LCL 06294 . 0 CL 06352 . 0 UCL chart x = = = 0 LCL 000996 . 0 CL 002106 . 0 UCL chart R = = = 25 20 15 10 5 Subgroup 0 0.064 0.063 0.062 Sample Mean 1 1 1 1 X=0.06294 3.0SL=0.06352 -3.0SL=0.06237 0.003 0.002 0.001 0.000 Sample Range 1 R=9.96E-04 3.0SL=0.002106 -3.0SL=0.00E+00 Xbar/R Chart for x1-x5 There are several points out of control. The control limits need to be revised. The points are 1, 14, 21, 22; or outside the control limits of the R chart: 15 b) Second revision, observations 5 and 6 are removed. Observation 12 is removed after the third revision.

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Observations 17 and 20 are removed after the fourth revision. Observations 8 and 11 are removed after the fifth revision. Observation 7 is removed after the sixth revision.
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