Tablas
APPENDIX A.
Table I Table II Table III Table IV Table V Chart VI Table VII Table VIII Table IX Table X Table XI
STATISTICAL TABLES AND CHARTS
651
Summary of Common Probability Distributions 652 Cumulative Standard Normal Distribution 653 Percentage Points 2 , of the Chi-Squared Distribution 655 Percentage Points t , of the t-Distribution 656 Percentage Points f , 1, 2 of theF-Distribution 657 Operating Characteristic Curves 662 Critical Values for the Sign Test 671 Critical Values for the Wilcoxon Signed-Rank Test 671 Critical Values for the Wilcoxon Rank-Sum Test 672 Factors for Constructing Variables Control Charts 673 Factors for Tolerance Intervals 674
APPENDIX B. APPENDIX C.
BIBLIOGRAPHY
677 679
ANSWERS TO SELECTED EXERCISES
649
Appendix AStatistical Tables and Charts
651
652
APPENDIX A
STATISTICAL TABLES AND CHARTS
Table I Summary of Common Probability Distributions Name Discrete Uniform Binomial x Geometric x Negative binomial x a r, r x r 1 n, a n a b px 11 x b p2 n
x
Probability Distribution
Mean 1b , 1 1 p 1 r p 1 a2 2 np 1b
Variance a 12 np11 p2 12 2 1
Section in Book
3-5 3-6
0, 1, . . . , n,0 11 p2 x 1p, 1, 2, . . . , 0 p
p
11 r11
p2 p2
3-7.1
1 b 11 p2 x rpr 1 1, r 2, . . . , 0 p K N K b a ba n x x N a b n
p2 p2
3-7.2
Hypergeometric
np, where p N K N
np11
p2 a
N N
n b 1
3-8
x e
max10, n min1K, n2, K
x
N
K2, 1, . . . N, n
Poisson Continuous Uniform
x!
,x
0, 1, 2, . . . , 0 1b 1b
3-9
b
Normal x ExponentialErlang Gamma Weibull x 22 0 1 x 1r
r r 1
12 1
1
a
,a e
1
x
21
x
b 22 ,0
a2 2
a2 2 12
2
4-5
4-6
, e x, 0 e x ,0 12!
x
x, 0 x, r x, 0
1
1 1, 2, . . . r, 0 r r a1 1 b
2 2
1 r r a1 a1
2
2 2
4-8 4-9.1 4-9.2 2 b bd
2
xr
e 1r2
1
,0 x a b x, 0 exp a
2
e
1x 2
,
4-10
,0 3 ln1x2 2 42 b e
2
c
1
Lognormal
2
2e2
1e
2
12
4-11
1z2
z
P1Z
z2
22 1
APPENDIX A
653
e
1 u2 2 du
Φ (z)
z
0
Table II Cumulative Standard Normal Distribution
z 3.9 3.8 3.7 3.6 3.5 3.4 3.3 3.2 3.1 3.0 2.9 2.8 2.7 2.6 2.5 2.4 2.3 2.2 2.1 2.0 1.9 1.8 1.7 1.6 1.5 1.4 1.3 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0.09 0.000033 0.000050 0.000075 0.000112 0.000165 0.0002420.000350 0.000501 0.000711 0.001001 0.001395 0.001926 0.002635 0.003573 0.004799 0.006387 0.008424 0.011011 0.014262 0.018309 0.023295 0.029379 0.036727 0.045514 0.055917 0.068112 0.082264 0.098525 0.117023 0.137857 0.161087 0.186733 0.214764 0.245097 0.277595 0.312067 0.348268 0.385908 0.424655 0.464144 0.08 0.000034 0.000052 0.000078 0.000117 0.000172 0.000251 0.000362 0.000519 0.000736 0.0010350.001441 0.001988 0.002718 0.003681 0.004940 0.006569 0.008656 0.011304 0.014629 0.018763 0.023852 0.030054 0.037538 0.046479 0.057053 0.069437 0.083793 0.100273 0.119000 0.140071 0.163543 0.189430 0.217695 0.248252 0.280957 0.315614 0.351973 0.389739 0.428576 0.468119 0.07 0.000036 0.000054 0.000082 0.000121 0.000179 0.000260 0.000376 0.000538 0.000762 0.001070 0.001489 0.002052 0.002803 0.0037930.005085 0.006756 0.008894 0.011604 0.015003 0.019226 0.024419 0.030742 0.038364 0.047460 0.058208 0.070781 0.085343 0.102042 0.121001 0.142310 0.166023 0.192150 0.220650 0.251429 0.284339 0.319178 0.355691 0.393580 0.432505 0.472097 0.06 0.000037 0.000057 0.000085 0.000126 0.000185 0.000270 0.000390 0.000557 0.000789 0.001107 0.001538 0.002118 0.002890 0.003907 0.005234 0.006947 0.009137 0.0119110.015386 0.019699 0.024998 0.031443 0.039204 0.048457 0.059380 0.072145 0.086915 0.103835 0.123024 0.144572 0.168528 0.194894 0.223627 0.254627 0.287740 0.322758 0.359424 0.397432 0.436441 0.476078 0.05 0.000039 0.000059 0.000088 0.000131 0.000193 0.000280 0.000404 0.000577 0.000816 0.001144 0.001589 0.002186 0.002980 0.004025 0.005386 0.007143 0.009387 0.012224 0.015778 0.020182 0.025588...
Regístrate para leer el documento completo.