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 ScoreProbability (Area under Curve)
-5.002.8665157192353E-7
-4.993.0189646249568E-7
-4.983.1792136634401E-7
-4.973.3476450789216E-7
-4.963.5246589824567E-7
-4.953.7106740813364E-7
-4.943.9061285439512E-7
-4.934.1114808391196E-7
-4.924.3272106187153E-7
-4.914.5538196480344E-7
-4.904.7918327683583E-7
-4.895.0417988850526E-7
-4.885.304292032271E-7
-4.875.5799124343281E-7
-4.865.8692876458988E-7
-4.856.1730737233035E-7
-4.846.4919564279897E-7
-4.836.8266525266036E-7
-4.827.1779110699666E-7
-4.817.5465147941767E-7
-4.807.9332815206001E-7
-4.798.3390656624438E-7
-4.788.7647597313278E-7
-4.779.2112959637625E-7
-4.769.6796479631678E-7
-4.751.0170832429601E-6
-4.741.0685910947217E-6
-4.731.122599185388E-6
-4.721.1792232167407E-6
-4.711.2385839573969E-6
-4.701.3008074539744E-6
-4.691.3660252446979E-6
-4.681.4343745842194E-6
-4.671.5059986779864E-6
-4.661.5810469191635E-6
-4.651.6596751444276E-6
-4.641.7420458903183E-6
-4.631.8283286637999E-6
-4.621.9187002200383E-6
-4.612.0133448543902E-6
-4.602.1124547028295E-6
-4.592.2162300477024E-6
-4.582.3248796503506E-6
-4.572.4386210737415E-6
-4.562.5576810392947E-6
-4.552.6822957794881E-6
-4.542.8127114120036E-6
-4.532.9491843228646E-6
-4.523.0919815692254E-6
-4.513.2413812872667E-6
-4.503.3976731247387E-6
-4.493.5611586794992E-6
-4.483.7321519605893E-6
-4.473.9109798605219E-6
-4.464.097982646889E-6
-4.454.2935144698442E-6
-4.444.4979438885706E-6
-4.434.7116544119596E-6
-4.424.935045062715E-6
-4.415.1685309572225E-6
-4.405.4125439078456E-6
-4.395.6675330417644E-6
-4.385.9339654456814E-6
-4.376.2123268269598E-6
-4.366.5031222011846E-6
-4.356.8068765992635E-6
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-4.337.4554670914662E-6
-4.327.8014600382037E-6
-4.318.1627273025298E-6
-4.308.5399054710056E-6
-4.298.9336559127018E-6
-4.289.3446656703744E-6
-4.279.7736483732902E-6
-4.261.0221345184025E-5
-4.251.0688525774904E-5
-4.241.1175989332202E-5
-4.231.1684565594639E-5
-4.221.2215115925307E-5
-4.211.2768534413565E-5
-4.201.3345749015903E-5
-4.191.3947722727226E-5
-4.181.4575454790888E-5
-4.171.5229981947917E-5
-4.161.5912379719207E-5
-4.151.6623763730017E-5
-4.141.7365291073546E-5
-4.131.8138161717918E-5
-4.121.8943619950362E-5
-4.111.9782955868353E-5
-4.102.0657506912936E-5
-4.092.1568659448468E-5
-4.082.2517850388759E-5
-4.072.3506568868736E-5
-4.062.4536357966509E-5
-4.052.5608816473954E-5
-4.042.6725600719368E-5
-4.032.7888426440747E-5
-4.022.9099070712135E-5
-4.013.0359373926592E-5
-4.003.167124183312E-5
-3.993.3036647629547E-5
-3.983.4457634115359E-5
-3.973.593631590304E-5
-3.963.7474881691257E-5
-3.953.9075596597771E-5
-3.944.0740804558737E-5
-3.934.2472930789073E-5
-3.924.4274484311879E-5
-3.914.6148060556028E-5
-3.904.8096344017701E-5
-3.895.0122110996309E-5
-3.885.222823240203E-5
-3.875.4417676633722E-5
-3.865.6693512534012E-5
-3.855.9058912419085E-5
-3.846.1517155183211E-5
-3.836.4071629489293E-5
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-3.816.9483395879755E-5
-3.807.2348043924864E-5
-3.797.53236423785E-5
-3.787.8414179383479E-5
-3.778.1623773702799E-5
-3.768.4956678497949E-5
-3.758.8417285200926E-5
-3.749.2010127474285E-5
-3.739.5739885268786E-5
-3.729.9611388975962E-5
-3.710.00010362962367427
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4.980.99999968207863
4.990.99999969810354
5.000.99999971334843

Final Answer


Our probability for a z-score of 0.75 is 0.6745