Using the z-table... Suppose you are taking an exam where you did worse than approximately 95% of students. What is your z-score? Hint: the probability of someone doing worse is .05. Given your z score, how many standard deviations below the mean is your score and why?
0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 50000 .49601 49202 48803 .48405 48006 47608 47210 46812 46414 46017 .45620 45224 44828 44433 44034 43640 .43251 42858 42465 -0.2 42074 .41683 41294 40905 40517 40129 39743 39350 38974 38591 -0.3 .38209 37828 37448 37070 .36693 .36317 .35942 35569 35197 34827 -0.4 34458 34090 .33724 .33360 32997 -32636 32276 31918 31561 31207 -0.5 30854 30503 30153 .29806 .29460 29116 28774 .28434 28096 27760 0.6 27425 .27093 26763 .26435 .26109 .25785 .25463 25143 24825 .24510 -0.7 24196 23885 23576 .23270 22965 22663 22363 22065 21770 21476 O.8 21186 20897 20611 20327 20045 19766 .19489 .19215 18943 .18673 0.9 18406 .18141 .17879 17619 .17361 17106 .16853 16602 16354 .16109 -1 15866 .15625 -15386 .15151 .14917 .14686 .14457 .14231 -14007 .13786 -1.1 .13567 .13350 13136 12924 .12714 12507 .12302 .12100 .11900 .11702 1.2 .11507 11314 11123 10935 .10749 -10565 .10383 .10204 -10027 .09853 -1.3 09680 .09510 09342 09176 .09012 08851 .08692 .08534 08379 08226 1.4 .08076 .07927 07780 .07636 .07493 07353 .07215 07078 .06944 06811 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 05705 .05592 -1.6 05480 .05370 05262 .05155 .05050 04947 .04846 .04746 .04648 04551 -1.7 .04457 .04363 04272 04182 .04093 04006 .03920 .03836 03754 03673 -1.8 03593 .03515 .03438 .03362 .03288 03216 .03144 .03074 .03005 .02938 -1.9 02872 02807 02743 .02680 .02619 02559 02500 .02442 02385 02330 -2 02275 .02222 02169 02118 .02068 .02018 01970 .01923 .01876 .01831 -2.1 .01786 .01743 01700 .01659 .01618 .01578 .01539 .01500 .01463 01426 -2.2 .01390 .01355 01321 .01287 .01255 01222 01191 .01160 01130 01101 -2.3 .01072 .01044 01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.4 .00820 .00798 00776 00755 .00734 .00714 .00695 .00676 00657 00639 -2.5 .00621 .00604 00587 00570 .00554 00539 .00523 00508 00494 00480 -2.6 00466 .00453 00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 -2.7 00347 .00336 00326 00317 .00307 00298 00289 00280 00272 00264 -2.8 00256 .00248 00240 00233 .00226 00219 .00212 .00205 .00199 00193 -2.9 .00187 .00181 00175 .00169 .00164 .00159 .00154 .00149 00144 .00139 -3 00135 .00131 00126 00122 .00118 00114 00111 .00107 .00104 00100 -3.1 00097 .00094 00090 00087 .00084 00082 00079 00076 00074 00071 3.2 00069 .00066 .00064 .00062 .00060 00058 .00056 .00054 00052 .00050 -3.3 00048 00047 00045 .00043 00047 00040 00039 00038 00036 00035-3.3 00048 .00047 00045 00043 00042 00040 00039 00038 000 36 00035 -3.4 00034 .00032 100031 .00030 00029 00028 .00027 .00026 .00025 00024 -3.5 .00023 00 022 .00022 .00021 00020 000 19 .00019 .00018 00017 00017 -3.6 00016 .00015 00015 .00014 00014 4000 13 .00013 .00012 00012 .0001 1 -3.7 00011 .00010 00010 00010 00009 00009 00008 .00008 .00008 00008 -3.8 .00007 00 007 .DO007 .00006 00006 DO006 .00006 .00005 .DO005 -3.9 .00005 .00005 00004 .00004 00004 .00004 00004 .00004 00003 00003 -4 .00003 .00003 .00003 100003 .00003 00003 .00002 .00002 .00002 00002
