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34. 解：（计算表）
组号 1 2 3 4 5 6 7 8 9 10 X1 40.3 39.95 39.88 40.02 39.92 40.09 39.95 39.85 40.08 39.98 X2 40.02 39.92 40.24 39.96 40.07 39.94 40.06 40.03 39.95 40 观测值 X3 40.19 40.01 40.21 39.93 40.15 39.97 39.94 39.93 40.09 39.9 X4 39.92 40.01 40.05 40.15 39.89 39.85 40 40.15 40.05 40.07 X5 40.08 40.11 40.02 40.09 40.14 39.93 40.05 39.88 40.04 39.95 ~X R 0.38 0.19 0.36 0.22 0.26 0.24 0.12 0.3 0.14 0.17 40.08 40.01 40.05 40.02 40.07 39.94 40 39.93 40.05 39.98 R = 2.38/10 = 0.238
~ CL= X = 40.013 ~ UCL= X+m3 A2R= 40.013 +0.691×0.238 =40.18 ~ LCL= X- m3 A2R= 40.013 -0.691×0.238 =39.85 CLR=R= 0.238
UCLR= D4R=2.115×0.238 = 0.5 LCLR= D3R=0×0.238 = 0 轮廓线： UCL = 40.18
CL = 40.013 LCL= 39.85
UCLR= 0.5 CLR= 0.238 LCLR= 0 35. 解：p =
?Pn = 156/13670 = 1.14% ?nn≤ni≤2n 2 n = 683. 5 pn= 7.8≥3 (近似于正态分布)
CL= p = 1.14% UCL= p +3
p(1?p)n =0.0263 LCL= p -3
p(1?p)n= - 0.0008 (取LCL=0 ) 轮廓线： UCL = 0.0263
CL = 0.0114
LCL= 0
36. 解：
p =
?Pn?n = 66/1650 = 4 % n = 82. 5 pn= 3.3≥3 (近似于正态分布) CL= p = 4 % UCL= p +3
p(1?p)n =0.105 LCL= p -3
p(1?p)n= - 0.025 (取LCL=0 )
轮廓线： UCL = 0.105
CL = 0.04
LCL= 0
37. 解：p =
?Pn?n = 60/3000 = 0.02 pn = 6≥3 (近似于正态分布) CL= pn =0.02×300 = 6 UCL= pn +3pn(1?p) =13.27
n2≤ni≤2n LCL= pn -3pn(1?p) = - 1.27 (取LCL=0 ) 轮廓线： UCL = 13.27
CL = 6
LCL= 0
38. 解：p =
?Pn = 40/1000 = 0.04 ?n pn = 4≥3 (近似于正态分布) CL= pn =0.04×100 = 4 UCL= pn +3pn(1?p) =9.98
LCL= pn -3pn(1?p) = - 1.88 (取LCL=0 )
轮廓线： UCL = 9.98
CL = 4
LCL= 0
139. 解：C =?C = 60/10 = 6 ≥3 (近似于正态分布)
K CL= C = 6
UCL= C +3c = 13.35
LCL= C -3c = - 1.35 (取LCL=0 )
轮廓线： UCL = 13.35
CL = 6
LCL= 0
140. 解：C =?C = 48/10 = 4.8 ≥3 (近似于正态分布)
K CL= C = 4.8
UCL= C +3c = 11.37
LCL= C -3c = - 1.77 (取LCL=0 ) 轮廓线： UCL = 11.37
CL = 4.8
LCL= 0
c?41. 解：u= = 52/17.5 = 2.97≈3 (近似于正态分布) n? CL= u = 2.97 n =
?n = 17.5 =1.75 （
k10n≤ni≤2n ） 2 ∴ U CL= u+3
u= 6.8782 nu = - 0.9382 (取LCL=0 ) n LCL= u-3
轮廓线： UCL = 6.8782
CL = 2.97
LCL= 0
42. 解：计算出Xcs 、Rs见上表
1s?X=0.06 /10= 0.006 Xc=n Rs=
?Rs = 0.474/9 =0.0527
N?1 CL= Xcs= 0.006
UCL= Xcs + E2Rs = 0.006 +2.66×0.0527= 0.1461 LCL= Xcs- E2Rs = 0.006 -2.66×0.0527= -0.1341