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وعشرين تلاتة التلاتة وعشرين اتنين والاربع وعشرين واحد let's compare the graph for the sample means اللي هو هيه وال graph تبع ال individual values لما خدناهم كل قيم لحالة مش طلع الشكل", "tokens": [6027, 3615, 46309, 9957, 6055, 1211, 9307, 3660, 2423, 14407, 24401, 4032, 3615, 46309, 9957, 5551, 25513, 27884, 39182, 9957, 1975, 1829, 8592, 4724, 1829, 44510, 10721, 7251, 1863, 4587, 9381, 36764, 24401, 36764, 24401, 37893, 39896, 4117, 2423, 9307, 1863, 9957, 4032, 3615, 46309, 9957, 6055, 1211, 9307, 3660, 16712, 1211, 9307, 3660, 4032, 3615, 46309, 9957, 1975, 2655, 1863, 9957, 4032, 6027, 9640, 3555, 3615, 4032, 3615, 46309, 9957, 36764, 24401, 718, 311, 6794, 264, 4295, 337, 264, 6889, 1355, 13672, 1829, 31439, 39896, 3224, 4032, 6027, 4295, 6055, 3555, 3615, 2423, 2609, 4190, 5296, 15042, 16490, 3215, 8315, 16095, 28242, 12174, 32640, 5296, 5016, 6027, 3660, 37893, 23032, 1211, 3615, 25124, 28820], "avg_logprob": -0.26495149937169304, "compression_ratio": 1.8584070796460177, 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"probability": 0.44921875}, {"start": 795.62, "end": 797.76, "word": " هيك", "probability": 0.356689453125}, {"start": 797.76, "end": 798.18, "word": " الاتنين", "probability": 0.7586669921875}, {"start": 798.18, "end": 798.5, "word": " وعشرين", "probability": 0.9478759765625}, {"start": 798.5, "end": 799.08, "word": " تلاتة", "probability": 0.9783935546875}, {"start": 799.08, "end": 800.12, "word": " التلاتة", "probability": 0.79571533203125}, {"start": 800.12, "end": 800.42, "word": " وعشرين", "probability": 0.8944091796875}, {"start": 800.42, "end": 800.8, "word": " اتنين", "probability": 0.915283203125}, {"start": 800.8, "end": 801.22, "word": " والاربع", "probability": 0.6678955078125}, {"start": 801.22, "end": 801.52, "word": " وعشرين", "probability": 0.8834228515625}, {"start": 801.52, "end": 801.92, "word": " واحد", "probability": 0.974365234375}, {"start": 801.92, "end": 804.24, "word": " let's", "probability": 0.562255859375}, {"start": 804.24, "end": 804.62, "word": " 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خدنا ال means هل شكله uniform؟ منتظم؟ هل كلهم زي بعض؟ رحلة بندور عليها تلات شغلات تتذكر أول لقع حكينا عليه عايزين ال center و ال spread و ال shape تلات شغلات يعني إيش معنى center؟ يعني المركز لهم يعني إيش ال mean لهم", "tokens": [409, 8629, 5296, 15042, 16490, 3215, 8315, 2423, 1355, 8032, 1211, 13412, 28820, 3224, 9452, 22807, 9154, 2655, 19913, 2304, 22807, 8032, 1211, 28242, 16095, 30767, 1829, 45030, 11242, 22807, 12602, 5016, 37977, 44945, 3215, 13063, 25894, 11296, 6055, 1211, 9307, 13412, 17082, 1211, 9307, 6055, 2655, 8848, 37983, 5551, 12610, 5296, 4587, 3615, 11331, 4117, 1829, 8315, 47356, 6225, 47302, 11622, 9957, 2423, 3056, 4032, 2423, 3974, 4032, 2423, 3909, 6055, 1211, 9307, 13412, 17082, 1211, 9307, 37495, 22653, 11933, 1829, 8592, 20449, 1863, 7578, 3056, 22807, 37495, 22653, 9673, 31747, 11622, 5296, 16095, 37495, 22653, 11933, 1829, 8592, 2423, 914, 5296, 16095], "avg_logprob": -0.19017857369922456, "compression_ratio": 1.7298578199052133, "no_speech_prob": 0.0, 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"probability": 0.9674072265625}, {"start": 829.89, "end": 830.05, "word": " ال", "probability": 0.98681640625}, {"start": 830.05, "end": 830.37, "word": " center", "probability": 0.79345703125}, {"start": 830.37, "end": 832.09, "word": " و", "probability": 0.298828125}, {"start": 832.09, "end": 832.33, "word": " ال", "probability": 0.96533203125}, {"start": 832.33, "end": 833.21, "word": " spread", "probability": 0.95703125}, {"start": 833.21, "end": 834.15, "word": " و", "probability": 0.94189453125}, {"start": 834.15, "end": 834.31, "word": " ال", "probability": 0.88916015625}, {"start": 834.31, "end": 834.55, "word": " shape", "probability": 0.9482421875}, {"start": 834.55, "end": 835.13, "word": " تلات", "probability": 0.78857421875}, {"start": 835.13, "end": 836.19, "word": " شغلات", "probability": 0.9886474609375}, {"start": 836.19, "end": 838.07, "word": " يعني", "probability": 0.940185546875}, {"start": 838.07, "end": 838.21, "word": " إيش", "probability": 0.8328450520833334}, {"start": 838.21, "end": 838.43, "word": " معنى", "probability": 0.7738444010416666}, {"start": 838.43, "end": 839.61, "word": " center؟", "probability": 0.748046875}, {"start": 839.61, "end": 840.91, "word": " يعني", "probability": 0.842041015625}, {"start": 840.91, "end": 841.41, "word": " المركز", "probability": 0.9441731770833334}, {"start": 841.41, "end": 841.71, "word": " لهم", "probability": 0.818115234375}, {"start": 841.71, "end": 842.29, "word": " يعني", "probability": 0.915283203125}, {"start": 842.29, "end": 842.49, "word": " إيش", "probability": 0.9191080729166666}, {"start": 842.49, "end": 842.65, "word": " ال", "probability": 0.97802734375}, {"start": 842.65, "end": 842.83, "word": " mean", "probability": 0.74462890625}, {"start": 842.83, "end": 843.21, "word": " لهم", "probability": 0.910888671875}], "temperature": 1.0}, {"id": 30, "seek": 87319, "start": 845.65, "end": 873.19, "text": "إذا الـ Seminic distribution means we are looking for the center it means the mean spread و الشبه but we are interested in the Seminic distribution of the means بعد كده عايز المين لمين للميns المين للميns هدول", "tokens": [28814, 15730, 2423, 39184, 14421, 259, 299, 7316, 1355, 321, 366, 1237, 337, 264, 3056, 309, 1355, 264, 914, 3974, 4032, 25124, 3555, 3224, 457, 321, 366, 3102, 294, 264, 14421, 259, 299, 7316, 295, 264, 1355, 39182, 9122, 3215, 3224, 6225, 47302, 11622, 9673, 9957, 5296, 2304, 9957, 5296, 19528, 1829, 3695, 9673, 9957, 5296, 19528, 1829, 3695, 8032, 3215, 12610], "avg_logprob": -0.369791673289405, "compression_ratio": 1.60625, "no_speech_prob": 0.0, "words": [{"start": 845.65, "end": 846.39, "word": "إذا", "probability": 0.6419677734375}, {"start": 846.39, "end": 846.73, "word": " الـ", "probability": 0.3599853515625}, {"start": 846.73, "end": 846.99, "word": " Seminic", "probability": 0.5372721354166666}, {"start": 846.99, "end": 847.57, "word": " distribution", "probability": 0.640625}, {"start": 847.57, "end": 848.01, "word": " means", 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بعد", "probability": 0.6591796875}, {"start": 866.57, "end": 866.75, "word": " كده", "probability": 0.9786783854166666}, {"start": 866.75, "end": 867.05, "word": " عايز", "probability": 0.9710286458333334}, {"start": 867.05, "end": 867.37, "word": " المين", "probability": 0.635498046875}, {"start": 867.37, "end": 867.79, "word": " لمين", "probability": 0.6831868489583334}, {"start": 867.79, "end": 869.47, "word": " للميns", "probability": 0.52435302734375}, {"start": 869.47, "end": 872.47, "word": " المين", "probability": 0.912353515625}, {"start": 872.47, "end": 872.87, "word": " للميns", "probability": 0.744384765625}, {"start": 872.87, "end": 873.19, "word": " هدول", "probability": 0.7119140625}], "temperature": 1.0}, {"id": 31, "seek": 90101, "start": 874.09, "end": 901.01, "text": "و ال spread يعني ال standard deviation لمين؟ برضه لل means و ال spread للمين؟ هدول تلاتة سؤال نجاوب عليهم الان و طلعهم واحدة واحدة فالأول هطلع ال mean لمن؟ ل ال means فأي means؟ ال means هدول ال 18 و 19 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{"start": 928.87, "end": 929.03, "word": " ال", "probability": 0.8642578125}, {"start": 929.03, "end": 929.13, "word": " mean", "probability": 0.88134765625}, {"start": 929.13, "end": 929.25, "word": " لل", "probability": 0.8828125}, {"start": 929.25, "end": 930.55, "word": " population", "probability": 0.9853515625}, {"start": 930.55, "end": 930.77, "word": " هذا", "probability": 0.763671875}, {"start": 930.77, "end": 930.99, "word": " عبارة", "probability": 0.992919921875}, {"start": 930.99, "end": 931.07, "word": " عن", "probability": 0.98291015625}, {"start": 931.07, "end": 931.51, "word": " population", "probability": 0.79345703125}, {"start": 931.51, "end": 931.85, "word": " mean", "probability": 0.464111328125}], "temperature": 1.0}, {"id": 33, "seek": 96237, "start": 936.71, "end": 962.37, "text": "طلع الـ mean للـ sample الـ mean هو نفسه ال population mean طب اطلعت sigma x bar حسب القانون ال summation اللي هو ال x bar نقص ال mean لل x bar على n هي كده بتطلعهم أول mean كانت 18 مش هي 18", "tokens": [9566, 1211, 3615, 2423, 39184, 914, 24976, 39184, 6889, 2423, 39184, 914, 31439, 8717, 36178, 3224, 2423, 4415, 914, 23032, 3555, 1975, 9566, 1211, 34268, 12771, 2031, 2159, 11331, 35457, 25062, 7649, 11536, 2423, 28811, 13672, 1829, 31439, 2423, 2031, 2159, 8717, 4587, 9381, 2423, 914, 24976, 2031, 2159, 15844, 297, 39896, 9122, 3215, 3224, 39894, 9566, 1211, 3615, 16095, 5551, 12610, 914, 25961, 2655, 2443, 37893, 39896, 2443], "avg_logprob": -0.3406249995742525, "compression_ratio": 1.569767441860465, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 936.71, "end": 937.07, "word": "طلع", "probability": 0.7560221354166666}, {"start": 937.07, "end": 937.17, "word": " الـ", "probability": 0.737548828125}, {"start": 937.17, "end": 937.27, "word": " mean", "probability": 0.468017578125}, {"start": 937.27, "end": 937.61, "word": " للـ", "probability": 0.654541015625}, {"start": 937.61, "end": 937.95, "word": " sample", "probability": 0.80029296875}, 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944.85, "word": " حسب", "probability": 0.980224609375}, {"start": 944.85, "end": 945.25, "word": " القانون", "probability": 0.9723307291666666}, {"start": 945.25, "end": 945.35, "word": " ال", "probability": 0.37890625}, {"start": 945.35, "end": 945.79, "word": " summation", "probability": 0.7783203125}, {"start": 945.79, "end": 949.37, "word": " اللي", "probability": 0.788330078125}, {"start": 949.37, "end": 949.45, "word": " هو", "probability": 0.9775390625}, {"start": 949.45, "end": 949.57, "word": " ال", "probability": 0.9501953125}, {"start": 949.57, "end": 949.73, "word": " x", "probability": 0.642578125}, {"start": 949.73, "end": 950.11, "word": " bar", "probability": 0.8896484375}, {"start": 950.11, "end": 952.89, "word": " نقص", "probability": 0.9654947916666666}, {"start": 952.89, "end": 953.05, "word": " ال", "probability": 0.9482421875}, {"start": 953.05, "end": 953.15, "word": " mean", "probability": 0.943359375}, {"start": 953.15, "end": 953.29, "word": " لل", "probability": 0.7578125}, {"start": 953.29, "end": 953.55, "word": " x", "probability": 0.76904296875}, {"start": 953.55, "end": 953.89, "word": " bar", "probability": 0.90869140625}, {"start": 953.89, "end": 954.37, "word": " على", "probability": 0.86279296875}, {"start": 954.37, "end": 954.77, "word": " n", "probability": 0.76611328125}, {"start": 954.77, "end": 957.15, "word": " هي", "probability": 0.60107421875}, {"start": 957.15, "end": 957.25, "word": " كده", "probability": 0.69091796875}, {"start": 957.25, "end": 957.81, "word": " بتطلعهم", "probability": 0.8}, {"start": 957.81, "end": 960.29, "word": " أول", "probability": 0.77392578125}, {"start": 960.29, "end": 960.45, "word": " mean", "probability": 0.91015625}, {"start": 960.45, "end": 960.77, "word": " كانت", "probability": 0.701416015625}, {"start": 960.77, "end": 961.17, "word": " 18", "probability": 0.79150390625}, {"start": 961.17, "end": 961.39, "word": " مش", "probability": 0.8134765625}, {"start": 961.39, "end": 961.61, "word": " هي", "probability": 0.36865234375}, {"start": 961.61, "end": 962.37, "word": " 18", "probability": 0.2255859375}], "temperature": 1.0}, {"id": 34, "seek": 99278, "start": 964.88, "end": 992.78, "text": "والـ mean اللي هم كده؟ 21 واللي بعده 19-21² لغاية أخر واحد 24-21² على 16 وطلع الجواب sigma لـ x bar 1.58", "tokens": [2407, 6027, 39184, 914, 13672, 1829, 8032, 2304, 9122, 3215, 3224, 22807, 5080, 4032, 6027, 20292, 39182, 3224, 1294, 12, 4436, 27643, 5296, 17082, 995, 10632, 5551, 34740, 36764, 24401, 4022, 12, 4436, 27643, 15844, 3165, 4032, 9566, 1211, 3615, 25724, 14407, 3555, 12771, 5296, 39184, 2031, 2159, 502, 13, 20419], "avg_logprob": -0.3861178010702133, "compression_ratio": 1.1729323308270676, "no_speech_prob": 0.0, "words": [{"start": 964.88, "end": 965.16, "word": "والـ", "probability": 0.621826171875}, {"start": 965.16, "end": 965.3, "word": " mean", "probability": 0.1148681640625}, {"start": 965.3, "end": 965.38, "word": " اللي", "probability": 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"end": 982.88, "word": " على", "probability": 0.2476806640625}, {"start": 982.88, "end": 985.68, "word": " 16", "probability": 0.78662109375}, {"start": 985.68, "end": 988.28, "word": " وطلع", "probability": 0.6224365234375}, {"start": 988.28, "end": 988.78, "word": " الجواب", "probability": 0.95166015625}, {"start": 988.78, "end": 989.94, "word": " sigma", "probability": 0.462890625}, {"start": 989.94, "end": 990.18, "word": " لـ", "probability": 0.31689453125}, {"start": 990.18, "end": 990.3, "word": " x", "probability": 0.681640625}, {"start": 990.3, "end": 990.5, "word": " bar", "probability": 0.71240234375}, {"start": 990.5, "end": 990.72, "word": " 1", "probability": 0.326171875}, {"start": 990.72, "end": 992.78, "word": ".58", "probability": 0.964111328125}], "temperature": 1.0}, {"id": 35, "seek": 102428, "start": 996.26, "end": 1024.28, "text": "طلع الـ sigma لل population كده؟ ال sigma لل population متساوي 2.236 إذا طلعت ال mean لل population طلعنا ال sigma لل population و بعدين أخدنا all samples of size 2 طلعنا ال means اللي هم طلعنا ال mean لل means و ال sigma لل means طلع معايا ال mean لل x bar 21 و ال sigma لل x bar 1.58", "tokens": [9566, 1211, 3615, 2423, 39184, 12771, 24976, 4415, 9122, 3215, 3224, 22807, 2423, 12771, 24976, 4415, 44650, 3794, 995, 45865, 568, 13, 9356, 21, 11933, 15730, 23032, 1211, 34268, 2423, 914, 24976, 4415, 23032, 1211, 3615, 8315, 2423, 12771, 24976, 4415, 4032, 39182, 9957, 5551, 9778, 3215, 8315, 439, 10938, 295, 2744, 568, 23032, 1211, 3615, 8315, 2423, 1355, 13672, 1829, 8032, 2304, 23032, 1211, 3615, 8315, 2423, 914, 24976, 1355, 4032, 2423, 12771, 24976, 1355, 23032, 1211, 3615, 20449, 995, 25528, 2423, 914, 24976, 2031, 2159, 5080, 4032, 2423, 12771, 24976, 2031, 2159, 502, 13, 20419], "avg_logprob": -0.20009566873920206, "compression_ratio": 2.0105263157894737, "no_speech_prob": 0.0, "words": [{"start": 996.26, "end": 996.58, "word": "طلع", "probability": 0.73583984375}, {"start": 996.58, "end": 996.78, "word": " 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the sample size from the same population will yield different sample means شوفنا means ما لهم مختلفين مش هيك اللي هم هدول كل ال means اللي هنا مش زي بعض a measure of variability in the mean from sample to sample is given by the standard error of the mean", "tokens": [2670, 264, 6889, 2744, 490, 264, 912, 4415, 486, 11257, 819, 6889, 1355, 13412, 38688, 8315, 1355, 19446, 5296, 16095, 3714, 46456, 46538, 9957, 37893, 39896, 4117, 13672, 1829, 8032, 2304, 8032, 3215, 12610, 28242, 2423, 1355, 13672, 1829, 34105, 37893, 30767, 1829, 45030, 11242, 257, 3481, 295, 35709, 294, 264, 914, 490, 6889, 281, 6889, 307, 2212, 538, 264, 3832, 6713, 295, 264, 914], "avg_logprob": -0.2660984726566257, "compression_ratio": 1.527363184079602, "no_speech_prob": 0.0, "words": [{"start": 1080.34, "end": 1080.6, "word": "of", "probability": 0.061767578125}, {"start": 1080.6, "end": 1080.8, "word": " the", "probability": 0.72119140625}, {"start": 1080.8, "end": 1081.1, "word": " sample", "probability": 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إذا ال sigma over square root of N ستظهر 1.58", "tokens": [3794, 2655, 19913, 3224, 2288, 8608, 1829, 7435, 15042, 1783, 2159, 20666, 3794, 995, 2407, 10632, 37495, 22653, 45164, 10874, 36081, 10874, 38251, 2655, 21136, 1829, 7435, 15042, 21136, 1829, 7435, 15042, 39896, 568, 13, 9356, 21, 2423, 426, 6915, 568, 45164, 10874, 38251, 2655, 11296, 11778, 12610, 15844, 33251, 6027, 4117, 12610, 9307, 2288, 8608, 2655, 19913, 3224, 2288, 25724, 14407, 3555, 502, 13, 20419, 11933, 15730, 2423, 12771, 670, 3732, 5593, 295, 426, 8608, 2655, 19913, 3224, 2288, 502, 13, 20419], "avg_logprob": -0.3683035618492535, "compression_ratio": 1.5310734463276836, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1164.64, "end": 1165.12, "word": "ستظهر", "probability": 0.6282958984375}, {"start": 1165.12, "end": 1165.52, "word": " سيجما", "probability": 0.558441162109375}, {"start": 1165.52, "end": 1165.68, "word": " X", "probability": 0.5771484375}, {"start": 1165.68, "end": 1165.94, "word": " 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{"start": 1544.67, "end": 1544.93, "word": " سيجما", "probability": 0.81451416015625}, {"start": 1544.93, "end": 1545.17, "word": " over", "probability": 0.76123046875}, {"start": 1545.17, "end": 1545.47, "word": " square", "probability": 0.84521484375}, {"start": 1545.47, "end": 1545.67, "word": " root", "probability": 0.90966796875}, {"start": 1545.67, "end": 1545.79, "word": " of", "probability": 0.986328125}, {"start": 1545.79, "end": 1546.79, "word": " n،", "probability": 0.736572265625}, {"start": 1546.79, "end": 1546.99, "word": " والأمر", "probability": 0.3595428466796875}, {"start": 1546.99, "end": 1547.73, "word": " دائمًا،", "probability": 0.79248046875}, {"start": 1547.73, "end": 1548.17, "word": " سيجما", "probability": 0.8218994140625}, {"start": 1548.17, "end": 1548.41, "word": " x", "probability": 0.958984375}, {"start": 1548.41, "end": 1548.73, "word": " bar", "probability": 0.95458984375}, {"start": 1548.73, "end": 1549.31, "word": " أقل", "probability": 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"end": 1607.34, "word": " corresponding", "probability": 0.685546875}, {"start": 1607.34, "end": 1607.8, "word": " one", "probability": 0.91455078125}, {"start": 1607.8, "end": 1608.72, "word": " المقابلة", "probability": 0.969970703125}, {"start": 1608.72, "end": 1609.02, "word": " لها", "probability": 0.685546875}], "temperature": 1.0}, {"id": 57, "seek": 163787, "start": 1610.65, "end": 1637.87, "text": "براحظ مين الأكبر؟ بالأولى sigma x greater than sigma x bar إذا always graph for x bar is narrower أضيق من ال graph تبع ال x يعني مع كده which one is less spread؟ مين قالت شهدته؟ graph a,b، so b is less spread it means x bar has less spread distribution than", "tokens": [3555, 23557, 5016, 19913, 3714, 9957, 16247, 4117, 26890, 22807, 20666, 10721, 12610, 7578, 12771, 2031, 5044, 813, 12771, 2031, 2159, 11933, 15730, 1009, 4295, 337, 2031, 2159, 307, 46751, 5551, 11242, 1829, 4587, 9154, 2423, 4295, 6055, 3555, 3615, 2423, 2031, 37495, 22653, 20449, 9122, 3215, 3224, 597, 472, 307, 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"probability": 0.9296875}, {"start": 1633.39, "end": 1634.61, "word": " it", "probability": 0.80078125}, {"start": 1634.61, "end": 1634.95, "word": " means", "probability": 0.9345703125}, {"start": 1634.95, "end": 1635.31, "word": " x", "probability": 0.94384765625}, {"start": 1635.31, "end": 1635.67, "word": " bar", "probability": 0.96435546875}, {"start": 1635.67, "end": 1636.07, "word": " has", "probability": 0.861328125}, {"start": 1636.07, "end": 1636.35, "word": " less", "probability": 0.8974609375}, {"start": 1636.35, "end": 1636.73, "word": " spread", "probability": 0.92236328125}, {"start": 1636.73, "end": 1637.43, "word": " distribution", "probability": 0.861328125}, {"start": 1637.43, "end": 1637.87, "word": " than", "probability": 0.85400390625}], "temperature": 1.0}, {"id": 58, "seek": 166548, "start": 1639.58, "end": 1665.48, "text": "واضح أن سيجما X بار الحكينا عليها في الأول مالها أقل من X بلاحظ ال mean لل X bar نفس ال population mean لما يكون ال mean لل X bar بيسوء ميو in this case X bar is called unbiased estimator", "tokens": [2407, 46958, 5016, 14739, 8608, 1829, 7435, 15042, 1783, 4724, 9640, 21542, 4117, 1829, 8315, 25894, 11296, 8978, 16247, 12610, 3714, 6027, 11296, 5551, 4587, 1211, 9154, 1783, 4724, 15040, 5016, 19913, 2423, 914, 24976, 1783, 2159, 8717, 36178, 2423, 4415, 914, 5296, 15042, 7251, 30544, 2423, 914, 24976, 1783, 2159, 4724, 1829, 3794, 2407, 38207, 3714, 1829, 2407, 294, 341, 1389, 1783, 2159, 307, 1219, 517, 5614, 1937, 8017, 1639], "avg_logprob": -0.3953993088669247, "compression_ratio": 1.4775280898876404, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1639.5800000000002, "end": 1640.18, "word": "واضح", "probability": 0.7745768229166666}, {"start": 1640.18, "end": 1640.32, "word": " أن", "probability": 0.36279296875}, {"start": 1640.32, "end": 1640.54, "word": " سيجما", "probability": 0.49609375}, {"start": 1640.54, "end": 1640.68, "word": " X", "probability": 0.6240234375}, {"start": 1640.68, "end": 1640.86, 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سيجما", "probability": 0.9583740234375}, {"start": 1982.85, "end": 1983.29, "word": " او", "probability": 0.95947265625}, {"start": 1983.29, "end": 1983.29, "word": " سي", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 70, "seek": 200267, "start": 1984.65, "end": 2002.67, "text": "لذلك مرة أخرى، بما أن الانتفال يحتوي على 95% من المعاملات العاملة، 5% من المعاملات العاملة ستكون خارجها. كم يمكننا أن نجد قيمة Z؟", "tokens": [1211, 8848, 23275, 3714, 25720, 5551, 34740, 7578, 12399, 4724, 15042, 14739, 2423, 7649, 2655, 5172, 6027, 7251, 33753, 45865, 15844, 13420, 4, 9154, 9673, 3615, 10943, 1211, 9307, 18863, 10943, 37977, 12399, 1025, 4, 9154, 9673, 3615, 10943, 1211, 9307, 18863, 10943, 37977, 8608, 2655, 30544, 16490, 9640, 7435, 11296, 13, 9122, 2304, 7251, 43020, 8315, 14739, 8717, 7435, 3215, 12174, 32640, 3660, 1176, 22807], "avg_logprob": -0.5345149146976755, "compression_ratio": 1.6402877697841727, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1984.65, "end": 1984.95, "word": "لذلك", "probability": 0.5870157877604166}, {"start": 1984.95, "end": 1985.11, "word": " مرة", "probability": 0.662841796875}, {"start": 1985.11, "end": 1986.13, "word": " أخرى،", "probability": 0.86279296875}, {"start": 1986.13, "end": 1986.63, "word": " بما", "probability": 0.51312255859375}, {"start": 1986.63, "end": 1986.63, "word": " أن", "probability": 0.89892578125}, {"start": 1986.63, "end": 1987.21, "word": " الانتفال", "probability": 0.5686767578125}, {"start": 1987.21, "end": 1987.79, "word": " يحتوي", "probability": 0.79638671875}, {"start": 1987.79, "end": 1987.91, "word": " على", "probability": 0.45654296875}, {"start": 1987.91, "end": 1988.17, "word": " 95", "probability": 0.9619140625}, {"start": 1988.17, "end": 1988.93, "word": "%", "probability": 0.9697265625}, {"start": 1988.93, "end": 1989.11, "word": " من", "probability": 0.93896484375}, {"start": 1989.11, "end": 1989.19, "word": " المعاملات", "probability": 0.5166259765625}, {"start": 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2016.56, "end": 2019.14, "word": " طلع", "probability": 0.8209635416666666}, {"start": 2019.14, "end": 2019.54, "word": " الجدول", "probability": 0.951171875}, {"start": 2019.54, "end": 2019.76, "word": " على", "probability": 0.77734375}, {"start": 2019.76, "end": 2019.88, "word": " الـ", "probability": 0.5657958984375}, {"start": 2019.88, "end": 2019.96, "word": " 0", "probability": 0.60595703125}, {"start": 2019.96, "end": 2020.36, "word": ".25", "probability": 0.978271484375}, {"start": 2020.36, "end": 2022.64, "word": " طلع", "probability": 0.8795572916666666}, {"start": 2022.64, "end": 2023.1, "word": " الجدول", "probability": 0.9767252604166666}, {"start": 2023.1, "end": 2024.88, "word": " الجدول", "probability": 0.9337565104166666}, {"start": 2024.88, "end": 2025.16, "word": " تبقى", "probability": 0.918701171875}, {"start": 2025.16, "end": 2025.3, "word": " الـ", "probability": 0.76904296875}, {"start": 2025.3, "end": 2025.34, "word": " z", "probability": 0.537109375}, {"start": 2025.34, "end": 2025.72, "word": " negative", "probability": 0.2091064453125}, {"start": 2025.72, "end": 2026.12, "word": " أكيد", "probability": 0.8688151041666666}, {"start": 2026.12, "end": 2026.94, "word": " لأنه", "probability": 0.8909505208333334}, {"start": 2026.94, "end": 2027.4, "word": " قيمة", "probability": 0.9599609375}, {"start": 2027.4, "end": 2027.76, "word": " صغيرة", "probability": 0.99267578125}, {"start": 2027.76, "end": 2029.94, "word": " إيش", "probability": 0.7416178385416666}, {"start": 2029.94, "end": 2030.22, "word": " بطلع", "probability": 0.905029296875}, {"start": 2030.22, "end": 2030.34, "word": " ال", "probability": 0.95849609375}, {"start": 2030.34, "end": 2030.42, "word": " z", "probability": 0.78271484375}, {"start": 2030.42, "end": 2030.82, "word": " score", "probability": 0.8779296875}, {"start": 2030.82, "end": 2031.94, "word": " ال", "probability": 0.54541015625}, {"start": 2031.94, "end": 2032.06, "word": " z", "probability": 0.6923828125}, {"start": 2032.06, "end": 2032.52, "word": " المقابل", "probability": 0.935546875}, {"start": 2032.52, "end": 2032.76, "word": " لها", "probability": 0.890625}], "temperature": 1.0}, {"id": 72, "seek": 205853, "start": 2036.27, "end": 2058.53, "text": "ماذا يعني Z value عند 0.25؟ 1.96", "tokens": [2304, 45636, 995, 37495, 22653, 1176, 2158, 43242, 1958, 13, 6074, 22807, 502, 13, 22962], "avg_logprob": -0.8618163876235485, "compression_ratio": 0.8627450980392157, "no_speech_prob": 0.0, "words": [{"start": 2036.27, "end": 2036.55, "word": "ماذا", "probability": 0.54095458984375}, {"start": 2036.55, "end": 2036.65, "word": " يعني", "probability": 0.5299072265625}, {"start": 2036.65, "end": 2036.77, "word": " Z", "probability": 0.232421875}, {"start": 2036.77, "end": 2037.27, "word": " value", "probability": 0.79052734375}, {"start": 2037.27, "end": 2038.51, "word": " عند", "probability": 0.419189453125}, {"start": 2038.51, "end": 2038.75, "word": " 0", "probability": 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"probability": 0.281982421875}, {"start": 2077.39, "end": 2077.75, "word": " this", "probability": 0.94921875}, {"start": 2077.75, "end": 2078.47, "word": " value", "probability": 0.98095703125}, {"start": 2078.47, "end": 2078.67, "word": " is", "probability": 0.9169921875}, {"start": 2078.67, "end": 2079.19, "word": " negative", "probability": 0.8623046875}, {"start": 2079.19, "end": 2079.69, "word": " one", "probability": 0.76904296875}, {"start": 2079.69, "end": 2079.97, "word": " point", "probability": 0.9052734375}, {"start": 2079.97, "end": 2080.23, "word": " nine", "probability": 0.90380859375}, {"start": 2080.23, "end": 2081.29, "word": " six", "probability": 0.94287109375}, {"start": 2081.29, "end": 2082.51, "word": " اللي", "probability": 0.730712890625}, {"start": 2082.51, "end": 2082.63, "word": " على", "probability": 0.436767578125}, {"start": 2082.63, "end": 2083.07, "word": " الشمال", "probability": 0.9728190104166666}, {"start": 2083.07, "end": 2083.99, "word": " و", "probability": 0.1561279296875}, {"start": 2083.99, "end": 2084.07, "word": " اللي", "probability": 0.6617431640625}, {"start": 2084.07, "end": 2084.15, "word": " على", "probability": 0.716796875}, {"start": 2084.15, "end": 2084.83, "word": " اليمين", "probability": 0.8963216145833334}, {"start": 2084.83, "end": 2087.25, "word": " نفسها", "probability": 0.9757486979166666}, {"start": 2087.25, "end": 2090.85, "word": " واحدة", "probability": 0.8131510416666666}, {"start": 2090.85, "end": 2091.03, "word": " موجة", "probability": 0.90966796875}, {"start": 2091.03, "end": 2091.33, "word": " بواحدة", "probability": 0.8912353515625}, {"start": 2091.33, "end": 2091.67, "word": " سالق", "probability": 0.583984375}], "temperature": 1.0}, {"id": 74, "seek": 211946, "start": 2092.46, "end": 2119.46, "text": "إذا بدوري على 0.5 في الـ table جوا إذا from the standardized normal table the z score will with 2.5 below it is negative 1.96 and above it is 1.96 now let's see how can we calculate the lower 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