Given α = 0.75, calculate the following:
the right-tailed and left-tailed critical value for Z
Calculate right-tailed value:
Our probability for a z-score of 0.75 is 0.6745
Probability Table
| Z Score | Probability (Area under Curve) |
|---|---|
| -5.00 | 2.8665157192353E-7 |
| -4.99 | 3.0189646249568E-7 |
| -4.98 | 3.1792136634401E-7 |
| -4.97 | 3.3476450789216E-7 |
| -4.96 | 3.5246589824567E-7 |
| -4.95 | 3.7106740813364E-7 |
| -4.94 | 3.9061285439512E-7 |
| -4.93 | 4.1114808391196E-7 |
| -4.92 | 4.3272106187153E-7 |
| -4.91 | 4.5538196480344E-7 |
| -4.90 | 4.7918327683583E-7 |
| -4.89 | 5.0417988850526E-7 |
| -4.88 | 5.304292032271E-7 |
| -4.87 | 5.5799124343281E-7 |
| -4.86 | 5.8692876458988E-7 |
| -4.85 | 6.1730737233035E-7 |
| -4.84 | 6.4919564279897E-7 |
| -4.83 | 6.8266525266036E-7 |
| -4.82 | 7.1779110699666E-7 |
| -4.81 | 7.5465147941767E-7 |
| -4.80 | 7.9332815206001E-7 |
| -4.79 | 8.3390656624438E-7 |
| -4.78 | 8.7647597313278E-7 |
| -4.77 | 9.2112959637625E-7 |
| -4.76 | 9.6796479631678E-7 |
| -4.75 | 1.0170832429601E-6 |
| -4.74 | 1.0685910947217E-6 |
| -4.73 | 1.122599185388E-6 |
| -4.72 | 1.1792232167407E-6 |
| -4.71 | 1.2385839573969E-6 |
| -4.70 | 1.3008074539744E-6 |
| -4.69 | 1.3660252446979E-6 |
| -4.68 | 1.4343745842194E-6 |
| -4.67 | 1.5059986779864E-6 |
| -4.66 | 1.5810469191635E-6 |
| -4.65 | 1.6596751444276E-6 |
| -4.64 | 1.7420458903183E-6 |
| -4.63 | 1.8283286637999E-6 |
| -4.62 | 1.9187002200383E-6 |
| -4.61 | 2.0133448543902E-6 |
| -4.60 | 2.1124547028295E-6 |
| -4.59 | 2.2162300477024E-6 |
| -4.58 | 2.3248796503506E-6 |
| -4.57 | 2.4386210737415E-6 |
| -4.56 | 2.5576810392947E-6 |
| -4.55 | 2.6822957794881E-6 |
| -4.54 | 2.8127114120036E-6 |
| -4.53 | 2.9491843228646E-6 |
| -4.52 | 3.0919815692254E-6 |
| -4.51 | 3.2413812872667E-6 |
| -4.50 | 3.3976731247387E-6 |
| -4.49 | 3.5611586794992E-6 |
| -4.48 | 3.7321519605893E-6 |
| -4.47 | 3.9109798605219E-6 |
| -4.46 | 4.097982646889E-6 |
| -4.45 | 4.2935144698442E-6 |
| -4.44 | 4.4979438885706E-6 |
| -4.43 | 4.7116544119596E-6 |
| -4.42 | 4.935045062715E-6 |
| -4.41 | 5.1685309572225E-6 |
| -4.40 | 5.4125439078456E-6 |
| -4.39 | 5.6675330417644E-6 |
| -4.38 | 5.9339654456814E-6 |
| -4.37 | 6.2123268269598E-6 |
| -4.36 | 6.5031222011846E-6 |
| -4.35 | 6.8068765992635E-6 |
| -4.34 | 7.1241358012841E-6 |
| -4.33 | 7.4554670914662E-6 |
| -4.32 | 7.8014600382037E-6 |
| -4.31 | 8.1627273025298E-6 |
| -4.30 | 8.5399054710056E-6 |
| -4.29 | 8.9336559127018E-6 |
| -4.28 | 9.3446656703744E-6 |
| -4.27 | 9.7736483732902E-6 |
| -4.26 | 1.0221345184025E-5 |
| -4.25 | 1.0688525774904E-5 |
| -4.24 | 1.1175989332202E-5 |
| -4.23 | 1.1684565594639E-5 |
| -4.22 | 1.2215115925307E-5 |
| -4.21 | 1.2768534413565E-5 |
| -4.20 | 1.3345749015903E-5 |
| -4.19 | 1.3947722727226E-5 |
| -4.18 | 1.4575454790888E-5 |
| -4.17 | 1.5229981947917E-5 |
| -4.16 | 1.5912379719207E-5 |
| -4.15 | 1.6623763730017E-5 |
| -4.14 | 1.7365291073546E-5 |
| -4.13 | 1.8138161717918E-5 |
| -4.12 | 1.8943619950362E-5 |
| -4.11 | 1.9782955868353E-5 |
| -4.10 | 2.0657506912936E-5 |
| -4.09 | 2.1568659448468E-5 |
| -4.08 | 2.2517850388759E-5 |
| -4.07 | 2.3506568868736E-5 |
| -4.06 | 2.4536357966509E-5 |
| -4.05 | 2.5608816473954E-5 |
| -4.04 | 2.6725600719368E-5 |
| -4.03 | 2.7888426440747E-5 |
| -4.02 | 2.9099070712135E-5 |
| -4.01 | 3.0359373926592E-5 |
| -4.00 | 3.167124183312E-5 |
| -3.99 | 3.3036647629547E-5 |
| -3.98 | 3.4457634115359E-5 |
| -3.97 | 3.593631590304E-5 |
| -3.96 | 3.7474881691257E-5 |
| -3.95 | 3.9075596597771E-5 |
| -3.94 | 4.0740804558737E-5 |
| -3.93 | 4.2472930789073E-5 |
| -3.92 | 4.4274484311879E-5 |
| -3.91 | 4.6148060556028E-5 |
| -3.90 | 4.8096344017701E-5 |
| -3.89 | 5.0122110996309E-5 |
| -3.88 | 5.222823240203E-5 |
| -3.87 | 5.4417676633722E-5 |
| -3.86 | 5.6693512534012E-5 |
| -3.85 | 5.9058912419085E-5 |
| -3.84 | 6.1517155183211E-5 |
| -3.83 | 6.4071629489293E-5 |
| -3.82 | 6.6725837029713E-5 |
| -3.81 | 6.9483395879755E-5 |
| -3.80 | 7.2348043924864E-5 |
| -3.79 | 7.53236423785E-5 |
| -3.78 | 7.8414179383479E-5 |
| -3.77 | 8.1623773702799E-5 |
| -3.76 | 8.4956678497949E-5 |
| -3.75 | 8.8417285200926E-5 |
| -3.74 | 9.2010127474285E-5 |
| -3.73 | 9.5739885268786E-5 |
| -3.72 | 9.9611388975962E-5 |
| -3.71 | 0.00010362962367427 |
| -3.70 | 0.00010779973347752 |
| -3.69 | 0.00011212702598207 |
| -3.68 | 0.00011661697681542 |
| -3.67 | 0.0001212752342854 |
| -3.66 | 0.00012610762413856 |
| -3.65 | 0.00013112015442029 |
| -3.64 | 0.00013631902044597 |
| -3.63 | 0.00014171060987589 |
| -3.62 | 0.00014730150790743 |
| -3.61 | 0.00015309850257372 |
| -3.60 | 0.00015910859015778 |
| -3.59 | 0.00016533898072035 |
| -3.58 | 0.00017179710374604 |
| -3.57 | 0.00017849061390485 |
| -3.56 | 0.0001854273969335 |
| -3.55 | 0.00019261557563577 |
| -3.54 | 0.00020006351600743 |
| -3.53 | 0.00020777983348053 |
| -3.52 | 0.0002157733992949 |
| -3.51 | 0.00022405334699116 |
| -3.50 | 0.00023262907903554 |
| -3.49 | 0.00024151027356756 |
| -3.48 | 0.00025070689128048 |
| -3.47 | 0.00026022918242741 |
| -3.46 | 0.00027008769396364 |
| -3.45 | 0.000280293276816 |
| -3.44 | 0.0002908570932908 |
| -3.43 | 0.00030179062460878 |
| -3.42 | 0.00031310567858112 |
| -3.41 | 0.00032481439741861 |
| -3.40 | 0.00033692926567674 |
| -3.39 | 0.00034946311833806 |
| -3.38 | 0.00036242914903295 |
| -3.37 | 0.00037584091839982 |
| -3.36 | 0.00038971236258178 |
| -3.35 | 0.00040405780186403 |
| -3.34 | 0.00041889194945044 |
| -3.33 | 0.00043422992038167 |
| -3.32 | 0.00045008724059226 |
| -3.31 | 0.00046647985610759 |
| -3.30 | 0.00048342414238356 |
| -3.29 | 0.00050093691378583 |
| -3.28 | 0.00051903543320675 |
| -3.27 | 0.00053773742182972 |
| -3.26 | 0.00055706106902442 |
| -3.25 | 0.00057702504239077 |
| -3.24 | 0.00059764849793442 |
| -3.23 | 0.0006189510903869 |
| -3.22 | 0.00064095298366018 |
| -3.21 | 0.00066367486144014 |
| -3.20 | 0.00068713793791586 |
| -3.19 | 0.00071136396864513 |
| -3.18 | 0.00073637526155379 |
| -3.17 | 0.00076219468806737 |
| -3.16 | 0.00078884569437565 |
| -3.15 | 0.00081635231282817 |
| -3.14 | 0.0008447391734584 |
| -3.13 | 0.00087403151563148 |
| -3.12 | 0.0009042551998224 |
| -3.11 | 0.00093543671951424 |
| -3.10 | 0.00096760321321865 |
| -3.09 | 0.0010007824766138 |
| -3.08 | 0.0010350029748027 |
| -3.07 | 0.0010702938546789 |
| -3.06 | 0.0011066849574091 |
| -3.05 | 0.0011442068310227 |
| -3.04 | 0.0011828907431043 |
| -3.03 | 0.001222768693592 |
| -3.02 | 0.0012638734276722 |
| -3.01 | 0.0013062384487693 |
| -3.00 | 0.0013498980316301 |
| -2.99 | 0.0013948872354921 |
| -2.98 | 0.0014412419173397 |
| -2.97 | 0.0014889987452374 |
| -2.96 | 0.0015381952117382 |
| -2.95 | 0.0015888696473645 |
| -2.94 | 0.0016410612341565 |
| -2.93 | 0.0016948100192772 |
| -2.92 | 0.0017501569286756 |
| -2.91 | 0.0018071437808064 |
| -2.90 | 0.0018658133003836 |
| -2.89 | 0.0019262091321877 |
| -2.88 | 0.0019883758548944 |
| -2.87 | 0.0020523589949395 |
| -2.86 | 0.0021182050404044 |
| -2.85 | 0.0021859614549131 |
| -2.84 | 0.002255676691542 |
| -2.83 | 0.0023274002067312 |
| -2.82 | 0.0024011824741892 |
| -2.81 | 0.0024770749987855 |
| -2.80 | 0.0025551303304278 |
| -2.79 | 0.0026354020779047 |
| -2.78 | 0.0027179449227008 |
| -2.77 | 0.0028028146327648 |
| -2.76 | 0.0028900680762261 |
| -2.75 | 0.0029797632350541 |
| -2.74 | 0.0030719592186499 |
| -2.73 | 0.0031667162773573 |
| -2.72 | 0.0032640958158907 |
| -2.71 | 0.0033641604066689 |
| -2.70 | 0.0034669738030401 |
| -2.69 | 0.0035726009523991 |
| -2.68 | 0.0036811080091743 |
| -2.67 | 0.0037925623476849 |
| -2.66 | 0.0039070325748523 |
| -2.65 | 0.0040245885427579 |
| -2.64 | 0.0041453013610355 |
| -2.63 | 0.0042692434090885 |
| -2.62 | 0.0043964883481207 |
| -2.61 | 0.0045271111329666 |
| -2.60 | 0.0046611880237184 |
| -2.59 | 0.0047987965971257 |
| -2.58 | 0.0049400157577699 |
| -2.57 | 0.00508492574899 |
| -2.56 | 0.0052336081635553 |
| -2.55 | 0.0053861459540661 |
| -2.54 | 0.0055426234430818 |
| -2.53 | 0.00570312633295 |
| -2.52 | 0.0058677417153318 |
| -2.51 | 0.0060365580804118 |
| -2.50 | 0.0062096653257753 |
| -2.49 | 0.0063871547649422 |
| -2.48 | 0.0065691191355457 |
| -2.47 | 0.0067556526071397 |
| -2.46 | 0.0069468507886233 |
| -2.45 | 0.0071428107352702 |
| -2.44 | 0.0073436309553474 |
| -2.43 | 0.0075494114163081 |
| -2.42 | 0.0077602535505525 |
| -2.41 | 0.0079762602607325 |
| -2.40 | 0.0081975359245947 |
| -2.39 | 0.0084241863993444 |
| -2.38 | 0.0086563190255154 |
| -2.37 | 0.0088940426303354 |
| -2.36 | 0.0091374675305713 |
| -2.35 | 0.0093867055348371 |
| -2.34 | 0.0096418699453571 |
| -2.33 | 0.0099030755591627 |
| -2.32 | 0.010170438668718 |
| -2.31 | 0.01044407706195 |
| -2.30 | 0.010724110021674 |
| -2.29 | 0.01101065832441 |
| -2.28 | 0.011303844238551 |
| -2.27 | 0.011603791521902 |
| -2.26 | 0.011910625418545 |
| -2.25 | 0.012224472655043 |
| -2.24 | 0.012545461435945 |
| -2.23 | 0.0128737214386 |
| -2.22 | 0.013209383807254 |
| -2.21 | 0.013552581146418 |
| -2.20 | 0.013903447513496 |
| -2.19 | 0.014262118410667 |
| -2.18 | 0.014628730775987 |
| -2.17 | 0.01500342297373 |
| -2.16 | 0.015386334783923 |
| -2.15 | 0.015777607391088 |
| -2.14 | 0.016177383372164 |
| -2.13 | 0.016585806683603 |
| -2.12 | 0.01700302264763 |
| -2.11 | 0.017429177937655 |
| -2.10 | 0.017864420562814 |
| -2.09 | 0.018308899851656 |
| -2.08 | 0.018762766434935 |
| -2.07 | 0.019226172227514 |
| -2.06 | 0.019699270409374 |
| -2.05 | 0.020182215405701 |
| -2.04 | 0.020675162866067 |
| -2.03 | 0.021178269642669 |
| -2.02 | 0.021691693767644 |
| -2.01 | 0.022215594429428 |
| -2.00 | 0.022750131948176 |
| -1.99 | 0.023295467750208 |
| -1.98 | 0.023851764341505 |
| -1.97 | 0.024419185280219 |
| -1.96 | 0.024997895148217 |
| -1.95 | 0.025588059521635 |
| -1.94 | 0.026189844940449 |
| -1.93 | 0.026803418877051 |
| -1.92 | 0.027428949703833 |
| -1.91 | 0.028066606659768 |
| -1.90 | 0.028716559815998 |
| -1.89 | 0.029378980040405 |
| -1.88 | 0.030054038961195 |
| -1.87 | 0.030741908929461 |
| -1.86 | 0.031442762980748 |
| -1.85 | 0.032156774795609 |
| -1.84 | 0.032884118659159 |
| -1.83 | 0.033624969419624 |
| -1.82 | 0.034379502445885 |
| -1.81 | 0.035147893584034 |
| -1.80 | 0.035930319112921 |
| -1.79 | 0.036726955698721 |
| -1.78 | 0.037537980348512 |
| -1.77 | 0.038363570362866 |
| -1.76 | 0.039203903287477 |
| -1.75 | 0.040059156863812 |
| -1.74 | 0.040929508978802 |
| -1.73 | 0.041815137613589 |
| -1.72 | 0.042716220791323 |
| -1.71 | 0.043632936524026 |
| -1.70 | 0.044565462758537 |
| -1.69 | 0.045513977321544 |
| -1.68 | 0.046478657863714 |
| -1.67 | 0.047459681802941 |
| -1.66 | 0.048457226266717 |
| -1.65 | 0.049471468033642 |
| -1.64 | 0.050502583474097 |
| -1.63 | 0.051550748490082 |
| -1.62 | 0.052616138454245 |
| -1.61 | 0.053698928148113 |
| -1.60 | 0.054799291699551 |
| -1.59 | 0.055917402519462 |
| -1.58 | 0.057053433237747 |
| -1.57 | 0.058207555638546 |
| -1.56 | 0.059379940594786 |
| -1.55 | 0.060570758002051 |
| -1.54 | 0.061780176711804 |
| -1.53 | 0.063008364463971 |
| -1.52 | 0.064255487818928 |
| -1.51 | 0.065521712088908 |
| -1.50 | 0.06680720126885 |
| -1.49 | 0.068112117966717 |
| -1.48 | 0.069436623333323 |
| -1.47 | 0.070780876991677 |
| -1.46 | 0.072145036965885 |
| -1.45 | 0.07352925960964 |
| -1.44 | 0.074933699534318 |
| -1.43 | 0.07635850953673 |
| -1.42 | 0.077803840526537 |
| -1.41 | 0.079269841453383 |
| -1.40 | 0.080756659233762 |
| -1.39 | 0.082264438677659 |
| -1.38 | 0.083793322415005 |
| -1.37 | 0.085343450821957 |
| -1.36 | 0.086914961947075 |
| -1.35 | 0.088507991437392 |
| -1.34 | 0.090122672464442 |
| -1.33 | 0.09175913565027 |
| -1.32 | 0.093417508993461 |
| -1.31 | 0.095097917795228 |
| -1.30 | 0.0968004845856 |
| -1.29 | 0.098525329049737 |
| -1.28 | 0.10027256795443 |
| -1.27 | 0.10204231507481 |
| -1.26 | 0.10383468112129 |
| -1.25 | 0.10564977366684 |
| -1.24 | 0.10748769707458 |
| -1.23 | 0.10934855242568 |
| -1.22 | 0.11123243744782 |
| -1.21 | 0.11313944644396 |
| -1.20 | 0.1150696702217 |
| -1.19 | 0.1170231960231 |
| -1.18 | 0.11900010745519 |
| -1.17 | 0.12100048442101 |
| -1.16 | 0.12302440305133 |
| -1.15 | 0.12507193563714 |
| -1.14 | 0.12714315056278 |
| -1.13 | 0.12923811224 |
| -1.12 | 0.13135688104272 |
| -1.11 | 0.13349951324273 |
| -1.10 | 0.13566606094637 |
| -1.09 | 0.13785657203202 |
| -1.08 | 0.14007109008876 |
| -1.07 | 0.14230965435592 |
| -1.06 | 0.1445722996639 |
| -1.05 | 0.14685905637588 |
| -1.04 | 0.14916995033097 |
| -1.03 | 0.15150500278833 |
| -1.02 | 0.15386423037272 |
| -1.01 | 0.15624764502124 |
| -1.00 | 0.15865525393144 |
| -0.99 | 0.16108705951082 |
| -0.98 | 0.16354305932768 |
| -0.97 | 0.16602324606351 |
| -0.96 | 0.16852760746682 |
| -0.95 | 0.17105612630847 |
| -0.94 | 0.17360878033861 |
| -0.93 | 0.17618554224524 |
| -0.92 | 0.17878637961436 |
| -0.91 | 0.18141125489178 |
| -0.90 | 0.18406012534674 |
| -0.89 | 0.18673294303716 |
| -0.88 | 0.18942965477669 |
| -0.87 | 0.19215020210368 |
| -0.86 | 0.19489452125179 |
| -0.85 | 0.19766254312268 |
| -0.84 | 0.20045419326043 |
| -0.83 | 0.20326939182805 |
| -0.82 | 0.2061080535858 |
| -0.81 | 0.20897008787158 |
| -0.80 | 0.21185539858338 |
| -0.79 | 0.21476388416362 |
| -0.78 | 0.21769543758571 |
| -0.77 | 0.22064994634263 |
| -0.76 | 0.22362729243758 |
| -0.75 | 0.22662735237685 |
| -0.74 | 0.22964999716477 |
| -0.73 | 0.23269509230088 |
| -0.72 | 0.23576249777923 |
| -0.71 | 0.23885206808997 |
| -0.70 | 0.24196365222305 |
| -0.69 | 0.24509709367429 |
| -0.68 | 0.24825223045355 |
| -0.67 | 0.25142889509529 |
| -0.66 | 0.25462691467132 |
| -0.65 | 0.25784611080584 |
| -0.64 | 0.26108629969284 |
| -0.63 | 0.26434729211566 |
| -0.62 | 0.26762889346896 |
| -0.61 | 0.27093090378299 |
| -0.60 | 0.27425311775005 |
| -0.59 | 0.27759532475344 |
| -0.58 | 0.28095730889854 |
| -0.57 | 0.2843388490463 |
| -0.56 | 0.28773971884901 |
| -0.55 | 0.29115968678832 |
| -0.54 | 0.29459851621568 |
| -0.53 | 0.29805596539486 |
| -0.52 | 0.30153178754694 |
| -0.51 | 0.3050257308975 |
| -0.50 | 0.30853753872597 |
| -0.49 | 0.31206694941737 |
| -0.48 | 0.3156136965162 |
| -0.47 | 0.31917750878253 |
| -0.46 | 0.32275811025033 |
| -0.45 | 0.3263552202879 |
| -0.44 | 0.32996855366057 |
| -0.43 | 0.33359782059544 |
| -0.42 | 0.33724272684823 |
| -0.41 | 0.3409029737723 |
| -0.40 | 0.34457825838965 |
| -0.39 | 0.348268273464 |
| -0.38 | 0.35197270757581 |
| -0.37 | 0.35569124519943 |
| -0.36 | 0.35942356678199 |
| -0.35 | 0.36316934882436 |
| -0.34 | 0.36692826396395 |
| -0.33 | 0.37069998105932 |
| -0.32 | 0.37448416527666 |
| -0.31 | 0.37828047817796 |
| -0.30 | 0.38208857781102 |
| -0.29 | 0.3859081188011 |
| -0.28 | 0.38973875244418 |
| -0.27 | 0.39358012680194 |
| -0.26 | 0.39743188679822 |
| -0.25 | 0.40129367431705 |
| -0.24 | 0.40516512830218 |
| -0.23 | 0.40904588485797 |
| -0.22 | 0.41293557735176 |
| -0.21 | 0.41683383651753 |
| -0.20 | 0.42074029056087 |
| -0.19 | 0.42465456526518 |
| -0.18 | 0.42857628409908 |
| -0.17 | 0.43250506832494 |
| -0.16 | 0.43644053710854 |
| -0.15 | 0.44038230762973 |
| -0.14 | 0.44432999519407 |
| -0.13 | 0.44828321334541 |
| -0.12 | 0.45224157397939 |
| -0.11 | 0.45620468745766 |
| -0.10 | 0.46017216272295 |
| -0.09 | 0.4641436074148 |
| -0.08 | 0.46811862798599 |
| -0.07 | 0.47209682981945 |
| -0.06 | 0.47607781734587 |
| -0.05 | 0.4800611941616 |
| -0.04 | 0.48404656314714 |
| -0.03 | 0.48803352658586 |
| -0.02 | 0.49202168628307 |
| -0.01 | 0.49601064368534 |
| 0.00 | 0.49999999999998 |
| 0.01 | 0.50398935631461 |
| 0.02 | 0.50797831371688 |
| 0.03 | 0.51196647341409 |
| 0.04 | 0.51595343685281 |
| 0.05 | 0.51993880583835 |
| 0.06 | 0.52392218265408 |
| 0.07 | 0.5279031701805 |
| 0.08 | 0.53188137201396 |
| 0.09 | 0.53585639258515 |
| 0.10 | 0.539827837277 |
| 0.11 | 0.54379531254229 |
| 0.12 | 0.54775842602056 |
| 0.13 | 0.55171678665454 |
| 0.14 | 0.55567000480588 |
| 0.15 | 0.55961769237022 |
| 0.16 | 0.56355946289141 |
| 0.17 | 0.56749493167501 |
| 0.18 | 0.57142371590088 |
| 0.19 | 0.57534543473477 |
| 0.20 | 0.57925970943908 |
| 0.21 | 0.58316616348242 |
| 0.22 | 0.58706442264819 |
| 0.23 | 0.59095411514198 |
| 0.24 | 0.59483487169777 |
| 0.25 | 0.5987063256829 |
| 0.26 | 0.60256811320174 |
| 0.27 | 0.60641987319802 |
| 0.28 | 0.61026124755577 |
| 0.29 | 0.61409188119885 |
| 0.30 | 0.61791142218893 |
| 0.31 | 0.621719521822 |
| 0.32 | 0.6255158347233 |
| 0.33 | 0.62930001894063 |
| 0.34 | 0.633071736036 |
| 0.35 | 0.6368306511756 |
| 0.36 | 0.64057643321797 |
| 0.37 | 0.64430875480052 |
| 0.38 | 0.64802729242414 |
| 0.39 | 0.65173172653596 |
| 0.40 | 0.6554217416103 |
| 0.41 | 0.65909702622765 |
| 0.42 | 0.66275727315173 |
| 0.43 | 0.66640217940452 |
| 0.44 | 0.67003144633938 |
| 0.45 | 0.67364477971206 |
| 0.46 | 0.67724188974963 |
| 0.47 | 0.68082249121742 |
| 0.48 | 0.68438630348375 |
| 0.49 | 0.68793305058259 |
| 0.50 | 0.69146246127399 |
| 0.51 | 0.69497426910246 |
| 0.52 | 0.69846821245301 |
| 0.53 | 0.7019440346051 |
| 0.54 | 0.70540148378428 |
| 0.55 | 0.70884031321163 |
| 0.56 | 0.71226028115095 |
| 0.57 | 0.71566115095366 |
| 0.58 | 0.71904269110142 |
| 0.59 | 0.72240467524651 |
| 0.60 | 0.72574688224991 |
| 0.61 | 0.72906909621697 |
| 0.62 | 0.732371106531 |
| 0.63 | 0.7356527078843 |
| 0.64 | 0.73891370030712 |
| 0.65 | 0.74215388919411 |
| 0.66 | 0.74537308532864 |
| 0.67 | 0.74857110490467 |
| 0.68 | 0.75174776954641 |
| 0.69 | 0.75490290632567 |
| 0.70 | 0.75803634777691 |
| 0.71 | 0.76114793190999 |
| 0.72 | 0.76423750222073 |
| 0.73 | 0.76730490769908 |
| 0.74 | 0.77035000283519 |
| 0.75 | 0.77337264762311 |
| 0.76 | 0.77637270756238 |
| 0.77 | 0.77935005365733 |
| 0.78 | 0.78230456241425 |
| 0.79 | 0.78523611583635 |
| 0.80 | 0.78814460141659 |
| 0.81 | 0.79102991212838 |
| 0.82 | 0.79389194641417 |
| 0.83 | 0.79673060817191 |
| 0.84 | 0.79954580673953 |
| 0.85 | 0.80233745687729 |
| 0.86 | 0.80510547874817 |
| 0.87 | 0.80784979789629 |
| 0.88 | 0.81057034522327 |
| 0.89 | 0.81326705696281 |
| 0.90 | 0.81593987465322 |
| 0.91 | 0.81858874510819 |
| 0.92 | 0.82121362038561 |
| 0.93 | 0.82381445775473 |
| 0.94 | 0.82639121966136 |
| 0.95 | 0.8289438736915 |
| 0.96 | 0.83147239253315 |
| 0.97 | 0.83397675393645 |
| 0.98 | 0.83645694067229 |
| 0.99 | 0.83891294048915 |
| 1.00 | 0.84134474606853 |
| 1.01 | 0.84375235497873 |
| 1.02 | 0.84613576962725 |
| 1.03 | 0.84849499721164 |
| 1.04 | 0.850830049669 |
| 1.05 | 0.85314094362409 |
| 1.06 | 0.85542770033608 |
| 1.07 | 0.85769034564405 |
| 1.08 | 0.85992890991122 |
| 1.09 | 0.86214342796795 |
| 1.10 | 0.8643339390536 |
| 1.11 | 0.86650048675724 |
| 1.12 | 0.86864311895726 |
| 1.13 | 0.87076188775997 |
| 1.14 | 0.87285684943719 |
| 1.15 | 0.87492806436284 |
| 1.16 | 0.87697559694864 |
| 1.17 | 0.87899951557897 |
| 1.18 | 0.88099989254479 |
| 1.19 | 0.88297680397688 |
| 1.20 | 0.88493032977828 |
| 1.21 | 0.88686055355601 |
| 1.22 | 0.88876756255215 |
| 1.23 | 0.8906514475743 |
| 1.24 | 0.8925123029254 |
| 1.25 | 0.89435022633313 |
| 1.26 | 0.89616531887869 |
| 1.27 | 0.89795768492517 |
| 1.28 | 0.89972743204555 |
| 1.29 | 0.90147467095024 |
| 1.30 | 0.90319951541438 |
| 1.31 | 0.90490208220475 |
| 1.32 | 0.90658249100652 |
| 1.33 | 0.90824086434971 |
| 1.34 | 0.90987732753554 |
| 1.35 | 0.91149200856259 |
| 1.36 | 0.9130850380529 |
| 1.37 | 0.91465654917802 |
| 1.38 | 0.91620667758498 |
| 1.39 | 0.91773556132232 |
| 1.40 | 0.91924334076622 |
| 1.41 | 0.9207301585466 |
| 1.42 | 0.92219615947345 |
| 1.43 | 0.92364149046325 |
| 1.44 | 0.92506630046566 |
| 1.45 | 0.92647074039034 |
| 1.46 | 0.9278549630341 |
| 1.47 | 0.92921912300831 |
| 1.48 | 0.93056337666666 |
| 1.49 | 0.93188788203327 |
| 1.50 | 0.93319279873113 |
| 1.51 | 0.93447828791108 |
| 1.52 | 0.93574451218106 |
| 1.53 | 0.93699163553601 |
| 1.54 | 0.93821982328818 |
| 1.55 | 0.93942924199793 |
| 1.56 | 0.9406200594052 |
| 1.57 | 0.94179244436144 |
| 1.58 | 0.94294656676224 |
| 1.59 | 0.94408259748052 |
| 1.60 | 0.94520070830044 |
| 1.61 | 0.94630107185187 |
| 1.62 | 0.94738386154574 |
| 1.63 | 0.9484492515099 |
| 1.64 | 0.94949741652589 |
| 1.65 | 0.95052853196635 |
| 1.66 | 0.95154277373327 |
| 1.67 | 0.95254031819705 |
| 1.68 | 0.95352134213627 |
| 1.69 | 0.95448602267844 |
| 1.70 | 0.95543453724145 |
| 1.71 | 0.95636706347596 |
| 1.72 | 0.95728377920867 |
| 1.73 | 0.9581848623864 |
| 1.74 | 0.95907049102119 |
| 1.75 | 0.95994084313618 |
| 1.76 | 0.96079609671251 |
| 1.77 | 0.96163642963712 |
| 1.78 | 0.96246201965148 |
| 1.79 | 0.96327304430127 |
| 1.80 | 0.96406968088707 |
| 1.81 | 0.96485210641596 |
| 1.82 | 0.9656204975541 |
| 1.83 | 0.96637503058037 |
| 1.84 | 0.96711588134083 |
| 1.85 | 0.96784322520438 |
| 1.86 | 0.96855723701924 |
| 1.87 | 0.96925809107053 |
| 1.88 | 0.9699459610388 |
| 1.89 | 0.97062101995959 |
| 1.90 | 0.97128344018399 |
| 1.91 | 0.97193339334022 |
| 1.92 | 0.97257105029616 |
| 1.93 | 0.97319658112294 |
| 1.94 | 0.97381015505954 |
| 1.95 | 0.97441194047836 |
| 1.96 | 0.97500210485178 |
| 1.97 | 0.97558081471977 |
| 1.98 | 0.97614823565849 |
| 1.99 | 0.97670453224979 |
| 2.00 | 0.97724986805182 |
| 2.01 | 0.97778440557057 |
| 2.02 | 0.97830830623235 |
| 2.03 | 0.97882173035733 |
| 2.04 | 0.97932483713393 |
| 2.05 | 0.97981778459429 |
| 2.06 | 0.98030072959062 |
| 2.07 | 0.98077382777248 |
| 2.08 | 0.98123723356506 |
| 2.09 | 0.98169110014834 |
| 2.10 | 0.98213557943718 |
| 2.11 | 0.98257082206234 |
| 2.12 | 0.98299697735236 |
| 2.13 | 0.98341419331639 |
| 2.14 | 0.98382261662783 |
| 2.15 | 0.98422239260891 |
| 2.16 | 0.98461366521607 |
| 2.17 | 0.98499657702626 |
| 2.18 | 0.98537126922401 |
| 2.19 | 0.98573788158933 |
| 2.20 | 0.9860965524865 |
| 2.21 | 0.98644741885358 |
| 2.22 | 0.98679061619274 |
| 2.23 | 0.9871262785614 |
| 2.24 | 0.98745453856405 |
| 2.25 | 0.98777552734495 |
| 2.26 | 0.98808937458145 |
| 2.27 | 0.98839620847809 |
| 2.28 | 0.98869615576144 |
| 2.29 | 0.98898934167559 |
| 2.30 | 0.98927588997832 |
| 2.31 | 0.98955592293805 |
| 2.32 | 0.98982956133128 |
| 2.33 | 0.99009692444083 |
| 2.34 | 0.99035813005464 |
| 2.35 | 0.99061329446516 |
| 2.36 | 0.99086253246943 |
| 2.37 | 0.99110595736966 |
| 2.38 | 0.99134368097448 |
| 2.39 | 0.99157581360065 |
| 2.40 | 0.9918024640754 |
| 2.41 | 0.99202373973927 |
| 2.42 | 0.99223974644945 |
| 2.43 | 0.99245058858369 |
| 2.44 | 0.99265636904465 |
| 2.45 | 0.99285718926473 |
| 2.46 | 0.99305314921137 |
| 2.47 | 0.99324434739286 |
| 2.48 | 0.99343088086445 |
| 2.49 | 0.99361284523506 |
| 2.50 | 0.99379033467422 |
| 2.51 | 0.99396344191959 |
| 2.52 | 0.99413225828467 |
| 2.53 | 0.99429687366705 |
| 2.54 | 0.99445737655692 |
| 2.55 | 0.99461385404593 |
| 2.56 | 0.99476639183644 |
| 2.57 | 0.99491507425101 |
| 2.58 | 0.99505998424223 |
| 2.59 | 0.99520120340287 |
| 2.60 | 0.99533881197628 |
| 2.61 | 0.99547288886703 |
| 2.62 | 0.99560351165188 |
| 2.63 | 0.99573075659091 |
| 2.64 | 0.99585469863896 |
| 2.65 | 0.99597541145724 |
| 2.66 | 0.99609296742515 |
| 2.67 | 0.99620743765231 |
| 2.68 | 0.99631889199082 |
| 2.69 | 0.9964273990476 |
| 2.70 | 0.99653302619696 |
| 2.71 | 0.99663583959333 |
| 2.72 | 0.99673590418411 |
| 2.73 | 0.99683328372264 |
| 2.74 | 0.99692804078135 |
| 2.75 | 0.99702023676495 |
| 2.76 | 0.99710993192377 |
| 2.77 | 0.99719718536723 |
| 2.78 | 0.9972820550773 |
| 2.79 | 0.99736459792209 |
| 2.80 | 0.99744486966957 |
| 2.81 | 0.99752292500121 |
| 2.82 | 0.99759881752581 |
| 2.83 | 0.99767259979327 |
| 2.84 | 0.99774432330846 |
| 2.85 | 0.99781403854509 |
| 2.86 | 0.99788179495959 |
| 2.87 | 0.99794764100506 |
| 2.88 | 0.99801162414511 |
| 2.89 | 0.99807379086781 |
| 2.90 | 0.99813418669961 |
| 2.91 | 0.99819285621919 |
| 2.92 | 0.99824984307132 |
| 2.93 | 0.99830518998072 |
| 2.94 | 0.99835893876584 |
| 2.95 | 0.99841113035263 |
| 2.96 | 0.99846180478826 |
| 2.97 | 0.99851100125476 |
| 2.98 | 0.99855875808266 |
| 2.99 | 0.99860511276451 |
| 3.00 | 0.99865010196837 |
| 3.01 | 0.99869376155123 |
| 3.02 | 0.99873612657233 |
| 3.03 | 0.99877723130641 |
| 3.04 | 0.9988171092569 |
| 3.05 | 0.99885579316898 |
| 3.06 | 0.99889331504259 |
| 3.07 | 0.99892970614532 |
| 3.08 | 0.9989649970252 |
| 3.09 | 0.99899921752339 |
| 3.10 | 0.99903239678678 |
| 3.11 | 0.99906456328049 |
| 3.12 | 0.99909574480018 |
| 3.13 | 0.99912596848437 |
| 3.14 | 0.99915526082654 |
| 3.15 | 0.99918364768717 |
| 3.16 | 0.99921115430562 |
| 3.17 | 0.99923780531193 |
| 3.18 | 0.99926362473845 |
| 3.19 | 0.99928863603135 |
| 3.20 | 0.99931286206208 |
| 3.21 | 0.99933632513856 |
| 3.22 | 0.99935904701634 |
| 3.23 | 0.99938104890961 |
| 3.24 | 0.99940235150207 |
| 3.25 | 0.99942297495761 |
| 3.26 | 0.99944293893098 |
| 3.27 | 0.99946226257817 |
| 3.28 | 0.99948096456679 |
| 3.29 | 0.99949906308621 |
| 3.30 | 0.99951657585762 |
| 3.31 | 0.99953352014389 |
| 3.32 | 0.99954991275941 |
| 3.33 | 0.99956577007962 |
| 3.34 | 0.99958110805055 |
| 3.35 | 0.99959594219814 |
| 3.36 | 0.99961028763742 |
| 3.37 | 0.9996241590816 |
| 3.38 | 0.99963757085097 |
| 3.39 | 0.99965053688166 |
| 3.40 | 0.99966307073432 |
| 3.41 | 0.99967518560258 |
| 3.42 | 0.99968689432142 |
| 3.43 | 0.99969820937539 |
| 3.44 | 0.99970914290671 |
| 3.45 | 0.99971970672318 |
| 3.46 | 0.99972991230604 |
| 3.47 | 0.99973977081757 |
| 3.48 | 0.99974929310872 |
| 3.49 | 0.99975848972643 |
| 3.50 | 0.99976737092097 |
| 3.51 | 0.99977594665301 |
| 3.52 | 0.9997842266007 |
| 3.53 | 0.99979222016652 |
| 3.54 | 0.99979993648399 |
| 3.55 | 0.99980738442436 |
| 3.56 | 0.99981457260307 |
| 3.57 | 0.9998215093861 |
| 3.58 | 0.99982820289625 |
| 3.59 | 0.99983466101928 |
| 3.60 | 0.99984089140984 |
| 3.61 | 0.99984690149743 |
| 3.62 | 0.99985269849209 |
| 3.63 | 0.99985828939012 |
| 3.64 | 0.99986368097955 |
| 3.65 | 0.99986887984558 |
| 3.66 | 0.99987389237586 |
| 3.67 | 0.99987872476572 |
| 3.68 | 0.99988338302319 |
| 3.69 | 0.99988787297402 |
| 3.70 | 0.99989220026652 |
| 3.71 | 0.99989637037633 |
| 3.72 | 0.99990038861102 |
| 3.73 | 0.99990426011473 |
| 3.74 | 0.99990798987253 |
| 3.75 | 0.9999115827148 |
| 3.76 | 0.9999150433215 |
| 3.77 | 0.9999183762263 |
| 3.78 | 0.99992158582062 |
| 3.79 | 0.99992467635762 |
| 3.80 | 0.99992765195608 |
| 3.81 | 0.99993051660412 |
| 3.82 | 0.99993327416297 |
| 3.83 | 0.99993592837051 |
| 3.84 | 0.99993848284482 |
| 3.85 | 0.99994094108758 |
| 3.86 | 0.99994330648747 |
| 3.87 | 0.99994558232337 |
| 3.88 | 0.9999477717676 |
| 3.89 | 0.999949877889 |
| 3.90 | 0.99995190365598 |
| 3.91 | 0.99995385193944 |
| 3.92 | 0.99995572551569 |
| 3.93 | 0.99995752706921 |
| 3.94 | 0.99995925919544 |
| 3.95 | 0.9999609244034 |
| 3.96 | 0.99996252511831 |
| 3.97 | 0.9999640636841 |
| 3.98 | 0.99996554236588 |
| 3.99 | 0.99996696335237 |
| 4.00 | 0.99996832875817 |
| 4.01 | 0.99996964062607 |
| 4.02 | 0.99997090092929 |
| 4.03 | 0.99997211157356 |
| 4.04 | 0.99997327439928 |
| 4.05 | 0.99997439118353 |
| 4.06 | 0.99997546364203 |
| 4.07 | 0.99997649343113 |
| 4.08 | 0.99997748214961 |
| 4.09 | 0.99997843134055 |
| 4.10 | 0.99997934249309 |
| 4.11 | 0.99998021704413 |
| 4.12 | 0.99998105638005 |
| 4.13 | 0.99998186183828 |
| 4.14 | 0.99998263470893 |
| 4.15 | 0.99998337623627 |
| 4.16 | 0.99998408762028 |
| 4.17 | 0.99998477001805 |
| 4.18 | 0.99998542454521 |
| 4.19 | 0.99998605227727 |
| 4.20 | 0.99998665425098 |
| 4.21 | 0.99998723146559 |
| 4.22 | 0.99998778488408 |
| 4.23 | 0.99998831543441 |
| 4.24 | 0.99998882401067 |
| 4.25 | 0.99998931147422 |
| 4.26 | 0.99998977865482 |
| 4.27 | 0.99999022635163 |
| 4.28 | 0.99999065533433 |
| 4.29 | 0.99999106634409 |
| 4.30 | 0.99999146009453 |
| 4.31 | 0.9999918372727 |
| 4.32 | 0.99999219853996 |
| 4.33 | 0.99999254453291 |
| 4.34 | 0.9999928758642 |
| 4.35 | 0.9999931931234 |
| 4.36 | 0.9999934968778 |
| 4.37 | 0.99999378767317 |
| 4.38 | 0.99999406603455 |
| 4.39 | 0.99999433246696 |
| 4.40 | 0.99999458745609 |
| 4.41 | 0.99999483146904 |
| 4.42 | 0.99999506495494 |
| 4.43 | 0.99999528834559 |
| 4.44 | 0.99999550205611 |
| 4.45 | 0.99999570648553 |
| 4.46 | 0.99999590201735 |
| 4.47 | 0.99999608902014 |
| 4.48 | 0.99999626784804 |
| 4.49 | 0.99999643884132 |
| 4.50 | 0.99999660232688 |
| 4.51 | 0.99999675861871 |
| 4.52 | 0.99999690801843 |
| 4.53 | 0.99999705081568 |
| 4.54 | 0.99999718728859 |
| 4.55 | 0.99999731770422 |
| 4.56 | 0.99999744231896 |
| 4.57 | 0.99999756137893 |
| 4.58 | 0.99999767512035 |
| 4.59 | 0.99999778376995 |
| 4.60 | 0.9999978875453 |
| 4.61 | 0.99999798665515 |
| 4.62 | 0.99999808129978 |
| 4.63 | 0.99999817167134 |
| 4.64 | 0.99999825795411 |
| 4.65 | 0.99999834032486 |
| 4.66 | 0.99999841895308 |
| 4.67 | 0.99999849400132 |
| 4.68 | 0.99999856562542 |
| 4.69 | 0.99999863397475 |
| 4.70 | 0.99999869919255 |
| 4.71 | 0.99999876141604 |
| 4.72 | 0.99999882077678 |
| 4.73 | 0.99999887740081 |
| 4.74 | 0.9999989314089 |
| 4.75 | 0.99999898291676 |
| 4.76 | 0.9999990320352 |
| 4.77 | 0.9999990788704 |
| 4.78 | 0.99999912352403 |
| 4.79 | 0.99999916609343 |
| 4.80 | 0.99999920667185 |
| 4.81 | 0.99999924534852 |
| 4.82 | 0.99999928220889 |
| 4.83 | 0.99999931733475 |
| 4.84 | 0.99999935080436 |
| 4.85 | 0.99999938269263 |
| 4.86 | 0.99999941307123 |
| 4.87 | 0.99999944200876 |
| 4.88 | 0.9999994695708 |
| 4.89 | 0.99999949582011 |
| 4.90 | 0.99999952081672 |
| 4.91 | 0.99999954461803 |
| 4.92 | 0.99999956727894 |
| 4.93 | 0.99999958885192 |
| 4.94 | 0.99999960938715 |
| 4.95 | 0.99999962893259 |
| 4.96 | 0.9999996475341 |
| 4.97 | 0.99999966523549 |
| 4.98 | 0.99999968207863 |
| 4.99 | 0.99999969810354 |
| 5.00 | 0.99999971334843 |
Final Answer
Our probability for a z-score of 0.75 is 0.6745
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What is the Answer?
Our probability for a z-score of 0.75 is 0.6745
How does the Standard Normal Distribution Calculator work?
Free Standard Normal Distribution Calculator - Givena normal distribution z-score critical value, this will generate the probability. Uses the NORMSDIST Excel function.
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Standard Normal Distribution Calculator?
calculate the right-tailed and left-tailed critical value for Z
For more math formulas, check out our Formula Dossier
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Standard Normal Distribution Calculator?
- area
- Number of square units covering the shape
- critical value
- a point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis.
- normal distribution
- an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
- probability
- the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes - standard normal distribution
Example calculations for the Standard Normal Distribution Calculator
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