dist normal e normal padrão

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  • 7/23/2019 Dist Normal e Normal Padro

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    Dados brutos: Dados ordenados: Supor normal:

    2 -7 1.9189189189 =

    3 -5 3.4349379614 =

    4 -4

    7 -2 X =?

    8 -1 1% -6.071941705

    0 -1 5% -3.731051245

    -1 0 50% 1.918918919

    3 0 95% 7.568889083

    2 0

    2 0 Teste das regras Empricas:

    2 0

    -4 1 Regra dos 67%

    1 1 68.27%

    3 1 F(X)

    2 2 5.3538568803 0.841344746

    9 2 -1.5160190425 0.158655254

    0 2

    1 2 Regra dos 95%

    0 2 95.45%

    -2 2 F(X)

    0 2 8.7887948418 0.977249868

    3 2 -4.9509570039 0.022750132

    2 2

    -5 3 Regra dos 99%

    8 3 99.73%

    3 3 F(X)

    -1 3 12.2237328032 0.998650102

    2 3 -8.3858949653 0.001349898

    3 3

    -7 3

    8 4

    5 53 7

    2 8

    2 8

    0 8

    1 9

    Quantis ()

    +/- 1

    +/- 2

    +/- 1

  • 7/23/2019 Dist Normal e Normal Padro

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    f(x) F(X)

    0.0039901717 0.47%

    0.0152741303 2.20%

    0.0263163949 4.24%

    0.060581652 12.70%

    0.0809442352 19.77%

    0.0809442352 19.77%

    0.0993624685 28.82%

    0.0993624685 28.82%

    0.0993624685 28.82%

    0.0993624685 28.82%

    0.0993624685 28.82%

    0.1120599583 39.45%

    0.1120599583 39.45%

    0.1120599583 39.45%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1161101474 50.94%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.1105303468 62.35%

    0.0966683987 72.77%0.0776746227 81.51%

    0.0388904811 93.05%

    0.0242333163 96.17%

    0.0242333163 96.17%

    0.0242333163 96.17%

    -8 -6 -4 -2 0

    0

    0.02

    0.04

    0.06

    0.08

    0.1

    0.12

    0.14

  • 7/23/2019 Dist Normal e Normal Padro

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    f(x) -> f(z)

    z

    0.00 -2.59653

    1 -2.014278

    -1.723152

    -1.140899

    -0.849773

    -0.849773

    -0.558647

    -0.558647

    -0.558647

    -0.558647

    -0.558647

    -0.267521

    -0.267521

    -0.267521

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.0236048

    0.3147309

    0.3147309

    0.3147309

    0.31473090.3147309

    0.3147309

    0.3147309

    0.605857

    0.896983

    1.4792352

    1.7703613

    1.7703613

    1.7703613

    2.0614873

    A Dist. No. ss" ist

    *sio $"

    2 4 6 8 10

  • 7/23/2019 Dist Normal e Normal Padro

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    F(z) (z)

    0.0047085 0.013706

    0.0219902 0.0524657

    0.0424306 0.0903952

    0.1269559 0.2080942

    0.1977255 0.2780384

    0.1977255 0.2780384

    0.2882012 0.3413039

    0.2882012 0.3413039

    0.2882012 0.3413039

    0.2882012 0.3413039

    0.2882012 0.3413039

    0.3945339 0.384919

    0.3945339 0.384919

    0.3945339 0.384919

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.5094161 0.3988312

    0.623517 0.3796649

    0.623517 0.3796649

    0.623517 0.3796649

    0.623517 0.37966490.623517 0.3796649

    0.623517 0.3796649

    0.623517 0.3796649

    0.7276951 0.33205

    0.815136 0.2668075

    0.9304613 0.1335864

    0.9616665 0.0832399

    0.9616665 0.0832399

    0.9616665 0.0832399

    0.9803717 0.0476533

    "# $"&o 'o*t* !" "i,*# X *!ii&o o!"# 'o! !i" z*o *

    &o it,io.

    -3 -2

  • 7/23/2019 Dist Normal e Normal Padro

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    -1 0 1 2 30

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    0.4

    0.45

    o#!

  • 7/23/2019 Dist Normal e Normal Padro

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    Rt (t)

    -1.307% 0.001210 16.174495

    -1.281% 0.011683 16.623803

    -1.268% v 1.4252198 16.84869

    -1.038% 20.883987

    -0.976% 21.979645

    -0.947% 22.47719

    -0.782% 25.327171

    -0.724% 26.281693

    -0.700% 26.672252

    -0.395% 30.970312

    -0.352% 31.464423

    -0.322% 31.779447

    -0.292% 32.078917

    -0.250% 32.470592

    -0.215% 32.765563

    0.000% 33.964595

    0.000% 33.964595

    0.000% 33.964595

    0.000% 33.964595

    0.000% 33.964595

    0.000% 33.964595

    0.210% 34.048407

    0.362% 33.430944

    0.395% 33.219061

    0.576% 31.648414

    0.765% 29.336501

    0.905% 27.264374

    1.272% 21.016176

    1.576% 15.716208

    1.884% 10.934386

    3.291% 0.8595292

    3.485% 0.5409747

    -2.000% -1.000% 0.000% 1.00

    0

    5

    10

    15

    20

    25

    30

    35

    40

  • 7/23/2019 Dist Normal e Normal Padro

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    rt f(rt)

    -0.013159 0.001144 16.067362

    -0.012891 0.011581 16.528361

    -0.012758 16.759167

    -0.01043 20.905981

    -0.009805 22.032861

    -0.00952 22.544604

    -0.007852 25.47506

    -0.00727 26.455764

    -0.007027 26.856853

    -0.003961 31.258074

    -0.003522 31.7615

    -0.003224 32.081979

    -0.002924 32.386214

    -0.0025 32.783364

    -0.00215 33.081745

    0 34.28007

    0 34.28007

    0 34.28007

    0 34.28007

    0 34.28007

    0 34.28007

    0.0020973 34.331429

    0.0036092 33.676464

    0.003945 33.455184

    0.0057481 31.830808

    0.0076193 29.463593

    0.0090083 27.35523

    0.0126408 21.046402

    0.0156415 15.735972

    0.0186661 10.96729

    0.032384 0.9059897

    0.0342549 0.5783567

    -0.020% 2.000% 3.000% 4.000%

  • 7/23/2019 Dist Normal e Normal Padro

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    Rt+ !"#$

    98.693% 0.1084086

    98.719% 0.1127725

    98.732% 0.1149886

    98.962% 0.1587978

    99.024% 0.1722217

    99.053% 0.1785733

    99.218% 0.2186241

    99.276% 0.233736

    99.300% 0.2402229

    99.605% 0.3296653

    99.648% 0.3434858

    99.678% 0.3530005

    99.708% 0.3626732

    99.750% 0.3764858

    99.785% 0.3880205

    100.000% 0.4606415

    100.000% 0.4606415

    100.000% 0.4606415

    100.000% 0.4606415

    100.000% 0.4606415

    100.000% 0.4606415

    100.210% 0.5327896

    100.362% 0.5842685

    100.395% 0.5955424

    100.576% 0.6545088

    100.765% 0.7119501

    100.905% 0.7514396

    101.272% 0.8395695

    101.576% 0.894678

    101.884% 0.9348555

    103.291% 0.9965066

    103.485% 0.9978753

    -0.01 0 0.01 0.02 0.03 0.04

    0

    5

    10

    15

    2025

    30

    35

    40

  • 7/23/2019 Dist Normal e Normal Padro

    9/10

    98.000% 99.000% 100.000% 101.000% 102.000% 103.000% 104.000%

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    !"#$

  • 7/23/2019 Dist Normal e Normal Padro

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