wcherry_normal_table

wcherry_normal_table - University of Waterloo STAT 230 W....

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Un ive rsity ofWat erloo STAT 230 – W. H.Che rry PROBABILITIES FOR THE STA NDA RDNORMAL DISTR IBUTION [ N (0, 1)] IN THE UPPER TABLE: Pr [ -∞ < N (0, 1) z -valuefromtable margins ]= Ta ble entr y e.g ., Pr[ -∞ < N (0, 1) 0.00]=0.5000 0 THE LOWER TABLE provides more accurat e and conve nie n tinv erselookup for sel ect e d probabilit ies inthe int erval 0.5 to0.999 9995. No tat ion: F (0.01) = .50 40 - 1 =0.50399 F (0.05) = .51 99 4 =0.51994 F (2. 33) = .9 2 0097 = 0.990097 where F ( z )isthe N (0, 1) c.d.f.: F ( z )= z f ( t ) dt = z 1 e - 1 2 t 2 dt 2 π f ( z ) z 0 z N (0, 1) p.d.f. .... ....... .......... ............. .............. ............... ................ ................... .................... .................... ..................... ..................... ...................... ....................... ........................ ........................ .......................... .......................... ........................... ............................ ............................ .............................. ............................... ................................ .................................. ................................... ...................................... z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 IN VER SE N (0, 1) C.d.f., giving z fo raspecified F ( z ) 0. 5 .50 .0000 .51 .0251 .52 .0502 .53 .0753 .54 .100 4 .55 .1257 .56 .1510 .57 .1764 .58 .2019 .59 .2275 .60 .2533 .61 .2793 .62 .3055 .63 .3319 .64 .3585 .65 .3853 .66 .4125 .67 .4399 .68 .4677 .69 .4959 .70 .5244 .71 .5534 .72 .5828 .73 .6128 .74 .6433 .75 .6745 .76 .7063 .77 .7388 .78 .7722 .79 .8064 .80 .8416 .81 .8779 .82 .9154 .83 .9542 .84 .9945 .85 1.0364 .86 1.0803 .87 1.1264 .88 1.1750 .89 1.2265 .90 1.2816 .91 1.3408 .92 1.4051 .93 1.4758 .94 1.5548 .95 1.6449 .96 1.7507 .97 1.8808 .97 51.9600 .98 2.0537 .990 2.3263 .991 2.3656 .992 2.4089 .993 2.4573 .994 2.5121 .995 2.5758 .996 2.6521 .997 2.7478 .998 2.8782 .999 3.0902 .9 3 53.2905 .9 4 53.8906 .9 5 54.4172 .9 6 54.8916 95 -04 -20 0.0 0.1 0. 2 0. 3 0.4 0. 5 0.6 0.7 0.8 0.9 1.0 1.1 1. 2 1. 3 1.4 1. 5 1.6 1.7 1.8 1.9 2.0 2.1 2. 2 2. 3 2.4 2. 5 2.6 2.7 2.8 2.9 3.0 3.1 3. 2 3. 3 3.4 3. 5 3.6 3.7 3.8 3.9 4.0 5.0 6.0 7.0 8.0 9.0 10.0 12.0 14 .0 16.0 18.0 20.0 25.0 30.0 40.0 50.0 100.0 .5000 0 .5398 3 .5793 - 4 .6179 1 .6554 2 .6915 - 4 .7257 5 .7580 4 .7881 4 .8159 4 .8413 4 .8643 3 .8849 3 .9032 0 .9192 4 .9332 - 1 .9452 0 .9554 3 .9641 - 3 .9713 - 2 .9772 5 .9821 4 .9861 0 .9893 - 2 .9 2 1802 .9 2 3790 .9 2 5339 .9 2 6533 .9 2 7445 .9 2 8134 .9 2 8650 .9 3 0324 .9 3 3129 .9 3 5166 .9 3 6631 .9 3 7674 .9 3 8409 .9 3 8922 .9 4 2765 .9 4 5190 .9 4 6833 .9 6 7134 .9 9 0134 .9 11 8720 .9 15 3779 .9 18 8872 .9 23 2380 .9 32 8224 .9 44 2207 .9 57 3611 .9 72 0259 .9 88 7246 .9 137 6943 .9 197 5093 .9 349 6344 .9 544 8919 .9 2173 8656 .50 40 - 1 .5438 0 .5832 - 3 .6217 2 .6591 0 .6950 - 3 .7291 - 3 .7611 5 .7910 3 .8186 - 1 .8438 - 5 .8665 0 .8869 -
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wcherry_normal_table - University of Waterloo STAT 230 W....

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