b14. Teste Z para duas amostras independente.ipynb

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    {
      "cell_type": "markdown",
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      "source": [
        "<a href=\"https://colab.research.google.com/github/camilabr74/Estatistica-Analise-Dados-Python/blob/main/b14.%20Teste%20Z%20para%20duas%20amostras%20independente.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Qt6NFwxO68nL"
      },
      "source": [
        "## TESTE Z para duas amostras independentes"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vB_V4a2EAIKe"
      },
      "source": [
        "Número de amostras maior ou igual a 30.\n",
        "\n",
        "Necessita conhecimento do desvio padrão."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P1k_GEUd62ik"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DzMEX3BJoN3u"
      },
      "source": [
        "enem_sp = pd.read_csv('/content/drive/MyDrive/Cursos_Udemy/curso_estatistica_python/enem_2019_tratado.csv',\n",
        "                      sep=',', encoding='iso-8859-1')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "87gu1YCcblfL",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 232
        },
        "outputId": "57262194-6647-4776-85f7-7c85a3fb6466"
      },
      "source": [
        "enem_sp.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>NU_INSCRICAO</th>\n",
              "      <th>NO_MUNICIPIO_RESIDENCIA</th>\n",
              "      <th>IDADE</th>\n",
              "      <th>SEXO</th>\n",
              "      <th>TP_ESTADO_CIVIL</th>\n",
              "      <th>RACA</th>\n",
              "      <th>TP_NACIONALIDADE</th>\n",
              "      <th>TP_ST_CONCLUSAO</th>\n",
              "      <th>ESCOLA</th>\n",
              "      <th>CO_ESCOLA</th>\n",
              "      <th>NO_MUNICIPIO_ESC</th>\n",
              "      <th>TP_PRESENCA_CN</th>\n",
              "      <th>TP_PRESENCA_CH</th>\n",
              "      <th>TP_PRESENCA_LC</th>\n",
              "      <th>TP_PRESENCA_MT</th>\n",
              "      <th>NOTA_CN</th>\n",
              "      <th>NOTA_CH</th>\n",
              "      <th>NOTA_LC</th>\n",
              "      <th>NOTA_MT</th>\n",
              "      <th>TP_LINGUA</th>\n",
              "      <th>TP_STATUS_REDACAO</th>\n",
              "      <th>COMP1</th>\n",
              "      <th>COMP2</th>\n",
              "      <th>COMP3</th>\n",
              "      <th>COMP4</th>\n",
              "      <th>COMP5</th>\n",
              "      <th>NOTA_REDACAO</th>\n",
              "      <th>INTERNET</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Santa Isabel</td>\n",
              "      <td>22</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>não_respondeu</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>564.6</td>\n",
              "      <td>585.8</td>\n",
              "      <td>592.9</td>\n",
              "      <td>600.2</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>180.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>940.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>São Paulo</td>\n",
              "      <td>17</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>privada</td>\n",
              "      <td>15567761.0</td>\n",
              "      <td>Belém</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>576.2</td>\n",
              "      <td>641.1</td>\n",
              "      <td>634.3</td>\n",
              "      <td>731.8</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>880.0</td>\n",
              "      <td>Não</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>São Bernardo do Campo</td>\n",
              "      <td>19</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35904958.0</td>\n",
              "      <td>São Bernardo do Campo</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>402.2</td>\n",
              "      <td>424.8</td>\n",
              "      <td>509.6</td>\n",
              "      <td>393.2</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>80.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Embu-Guaçu</td>\n",
              "      <td>17</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>399.6</td>\n",
              "      <td>426.8</td>\n",
              "      <td>487.2</td>\n",
              "      <td>419.2</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>80.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Guarulhos</td>\n",
              "      <td>23</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>não_respondeu</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>625.7</td>\n",
              "      <td>646.5</td>\n",
              "      <td>629.3</td>\n",
              "      <td>796.1</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>200.0</td>\n",
              "      <td>180.0</td>\n",
              "      <td>180.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>880.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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            ],
            "text/plain": [
              "  NU_INSCRICAO NO_MUNICIPIO_RESIDENCIA  IDADE  ...  COMP5  NOTA_REDACAO INTERNET\n",
              "0     1,90E+11            Santa Isabel     22  ...  200.0         940.0      Sim\n",
              "1     1,90E+11               São Paulo     17  ...  200.0         880.0      Não\n",
              "2     1,90E+11   São Bernardo do Campo     19  ...  100.0         560.0      Sim\n",
              "3     1,90E+11              Embu-Guaçu     17  ...   80.0         560.0      Sim\n",
              "4     1,90E+11               Guarulhos     23  ...  160.0         880.0      Sim\n",
              "\n",
              "[5 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4aVRAjCFS3pr"
      },
      "source": [
        "Objetivo:\n",
        "Analisar a diferença entre as médias de mulheres e homens para a nota de um dos componentes de redação do colégio x.\n",
        "\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QjUHhWqFoVG4"
      },
      "source": [
        "colegiox = enem_sp.loc[enem_sp.CO_ESCOLA == 35017632.0]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ro1T9FRnoz3u",
        "outputId": "d97d97ee-641a-4994-bd8f-ac53227c0aa4"
      },
      "source": [
        "colegiox.shape"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(41, 28)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 215
        },
        "id": "5AYuP9cMcRhz",
        "outputId": "b0c162f7-172f-4a7c-9144-b029de24ee1c"
      },
      "source": [
        "colegiox.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>NU_INSCRICAO</th>\n",
              "      <th>NO_MUNICIPIO_RESIDENCIA</th>\n",
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              "      <th>SEXO</th>\n",
              "      <th>TP_ESTADO_CIVIL</th>\n",
              "      <th>RACA</th>\n",
              "      <th>TP_NACIONALIDADE</th>\n",
              "      <th>TP_ST_CONCLUSAO</th>\n",
              "      <th>ESCOLA</th>\n",
              "      <th>CO_ESCOLA</th>\n",
              "      <th>NO_MUNICIPIO_ESC</th>\n",
              "      <th>TP_PRESENCA_CN</th>\n",
              "      <th>TP_PRESENCA_CH</th>\n",
              "      <th>TP_PRESENCA_LC</th>\n",
              "      <th>TP_PRESENCA_MT</th>\n",
              "      <th>NOTA_CN</th>\n",
              "      <th>NOTA_CH</th>\n",
              "      <th>NOTA_LC</th>\n",
              "      <th>NOTA_MT</th>\n",
              "      <th>TP_LINGUA</th>\n",
              "      <th>TP_STATUS_REDACAO</th>\n",
              "      <th>COMP1</th>\n",
              "      <th>COMP2</th>\n",
              "      <th>COMP3</th>\n",
              "      <th>COMP4</th>\n",
              "      <th>COMP5</th>\n",
              "      <th>NOTA_REDACAO</th>\n",
              "      <th>INTERNET</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>37</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>46.3</td>\n",
              "      <td>447.2</td>\n",
              "      <td>557.3</td>\n",
              "      <td>537.1</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>20.0</td>\n",
              "      <td>340.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>505.9</td>\n",
              "      <td>534.5</td>\n",
              "      <td>529.8</td>\n",
              "      <td>451.9</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>720.0</td>\n",
              "      <td>Não</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>449.4</td>\n",
              "      <td>436.4</td>\n",
              "      <td>45.8</td>\n",
              "      <td>506.4</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>80.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>Não</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>65</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>468.6</td>\n",
              "      <td>606.1</td>\n",
              "      <td>576.6</td>\n",
              "      <td>59.5</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>520.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>79</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>414.3</td>\n",
              "      <td>553.7</td>\n",
              "      <td>49.5</td>\n",
              "      <td>510.6</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>640.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   NU_INSCRICAO NO_MUNICIPIO_RESIDENCIA  IDADE  ...  COMP5  NOTA_REDACAO INTERNET\n",
              "37     1,90E+11        Águas de Lindóia     18  ...   20.0         340.0      Sim\n",
              "44     1,90E+11        Águas de Lindóia     17  ...  160.0         720.0      Não\n",
              "52     1,90E+11        Águas de Lindóia     17  ...   80.0         560.0      Não\n",
              "65     1,90E+11        Águas de Lindóia     17  ...   40.0         520.0      Sim\n",
              "79     1,90E+11        Águas de Lindóia     18  ...  140.0         640.0      Sim\n",
              "\n",
              "[5 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7HcLoxuXcGK6"
      },
      "source": [
        "colegiox_mulher = colegiox.loc[colegiox.SEXO == 'F']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 215
        },
        "id": "g5TVch2lcWJl",
        "outputId": "914552ff-b5ec-4311-a9c0-943f18ab4140"
      },
      "source": [
        "colegiox_mulher.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>NU_INSCRICAO</th>\n",
              "      <th>NO_MUNICIPIO_RESIDENCIA</th>\n",
              "      <th>IDADE</th>\n",
              "      <th>SEXO</th>\n",
              "      <th>TP_ESTADO_CIVIL</th>\n",
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              "      <th>TP_PRESENCA_CN</th>\n",
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              "      <th>TP_PRESENCA_LC</th>\n",
              "      <th>TP_PRESENCA_MT</th>\n",
              "      <th>NOTA_CN</th>\n",
              "      <th>NOTA_CH</th>\n",
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              "      <th>NOTA_MT</th>\n",
              "      <th>TP_LINGUA</th>\n",
              "      <th>TP_STATUS_REDACAO</th>\n",
              "      <th>COMP1</th>\n",
              "      <th>COMP2</th>\n",
              "      <th>COMP3</th>\n",
              "      <th>COMP4</th>\n",
              "      <th>COMP5</th>\n",
              "      <th>NOTA_REDACAO</th>\n",
              "      <th>INTERNET</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>505.9</td>\n",
              "      <td>534.5</td>\n",
              "      <td>529.8</td>\n",
              "      <td>451.9</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>720.0</td>\n",
              "      <td>Não</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
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              "      <td>F</td>\n",
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              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>449.4</td>\n",
              "      <td>436.4</td>\n",
              "      <td>45.8</td>\n",
              "      <td>506.4</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>80.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>Não</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>79</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>414.3</td>\n",
              "      <td>553.7</td>\n",
              "      <td>49.5</td>\n",
              "      <td>510.6</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>640.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>84</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>19</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>397.8</td>\n",
              "      <td>458.5</td>\n",
              "      <td>473.5</td>\n",
              "      <td>420.6</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>20.0</td>\n",
              "      <td>360.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>91</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>F</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
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              "      <td>1</td>\n",
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              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>436.3</td>\n",
              "      <td>528.8</td>\n",
              "      <td>530.7</td>\n",
              "      <td>537.9</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>80.0</td>\n",
              "      <td>560.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   NU_INSCRICAO NO_MUNICIPIO_RESIDENCIA  IDADE  ...  COMP5  NOTA_REDACAO INTERNET\n",
              "44     1,90E+11        Águas de Lindóia     17  ...  160.0         720.0      Não\n",
              "52     1,90E+11        Águas de Lindóia     17  ...   80.0         560.0      Não\n",
              "79     1,90E+11        Águas de Lindóia     18  ...  140.0         640.0      Sim\n",
              "84     1,90E+11        Águas de Lindóia     19  ...   20.0         360.0      Sim\n",
              "91     1,90E+11        Águas de Lindóia     18  ...   80.0         560.0      Sim\n",
              "\n",
              "[5 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fvWfdFHscaK1",
        "outputId": "f2902720-232e-407b-a7e2-a041383c44cf"
      },
      "source": [
        "colegiox_mulher.shape"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(28, 28)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KSsHF6wuce13"
      },
      "source": [
        "colegiox_homem = colegiox.loc[colegiox.SEXO == 'M']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IBXrsfjGcp7X",
        "outputId": "f6d8326c-e37b-4956-fa68-3406358a1d40"
      },
      "source": [
        "colegiox_homem.shape"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(13, 28)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 215
        },
        "id": "byotyiXRckqH",
        "outputId": "da434668-c262-4234-eae2-fb6987bf8c0b"
      },
      "source": [
        "colegiox_homem.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>NU_INSCRICAO</th>\n",
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              "      <th>SEXO</th>\n",
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              "      <th>ESCOLA</th>\n",
              "      <th>CO_ESCOLA</th>\n",
              "      <th>NO_MUNICIPIO_ESC</th>\n",
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              "      <th>TP_PRESENCA_CH</th>\n",
              "      <th>TP_PRESENCA_LC</th>\n",
              "      <th>TP_PRESENCA_MT</th>\n",
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              "      <th>NOTA_CH</th>\n",
              "      <th>NOTA_LC</th>\n",
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              "      <th>TP_STATUS_REDACAO</th>\n",
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              "      <th>COMP2</th>\n",
              "      <th>COMP3</th>\n",
              "      <th>COMP4</th>\n",
              "      <th>COMP5</th>\n",
              "      <th>NOTA_REDACAO</th>\n",
              "      <th>INTERNET</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>37</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>46.3</td>\n",
              "      <td>447.2</td>\n",
              "      <td>557.3</td>\n",
              "      <td>537.1</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>20.0</td>\n",
              "      <td>340.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>65</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>468.6</td>\n",
              "      <td>606.1</td>\n",
              "      <td>576.6</td>\n",
              "      <td>59.5</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>40.0</td>\n",
              "      <td>520.0</td>\n",
              "      <td>Sim</td>\n",
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              "    <tr>\n",
              "      <th>85</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
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              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>469.1</td>\n",
              "      <td>528.7</td>\n",
              "      <td>488.4</td>\n",
              "      <td>508.2</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>680.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>108151</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>18</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>branca</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>50.7</td>\n",
              "      <td>558.1</td>\n",
              "      <td>569.4</td>\n",
              "      <td>705.3</td>\n",
              "      <td>Inglês</td>\n",
              "      <td>1.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>160.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>140.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>660.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>182519</th>\n",
              "      <td>1,90E+11</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>17</td>\n",
              "      <td>M</td>\n",
              "      <td>1</td>\n",
              "      <td>parda</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>pública</td>\n",
              "      <td>35017632.0</td>\n",
              "      <td>Águas de Lindóia</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>460.2</td>\n",
              "      <td>358.7</td>\n",
              "      <td>475.6</td>\n",
              "      <td>480.9</td>\n",
              "      <td>Espanhol</td>\n",
              "      <td>1.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>120.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>100.0</td>\n",
              "      <td>520.0</td>\n",
              "      <td>Sim</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       NU_INSCRICAO NO_MUNICIPIO_RESIDENCIA  ...  NOTA_REDACAO INTERNET\n",
              "37         1,90E+11        Águas de Lindóia  ...         340.0      Sim\n",
              "65         1,90E+11        Águas de Lindóia  ...         520.0      Sim\n",
              "85         1,90E+11        Águas de Lindóia  ...         680.0      Sim\n",
              "108151     1,90E+11        Águas de Lindóia  ...         660.0      Sim\n",
              "182519     1,90E+11        Águas de Lindóia  ...         520.0      Sim\n",
              "\n",
              "[5 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CBuFd2yGfSMP"
      },
      "source": [
        "1) Analisar a classificação das variáveis"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VZfjhBVufRdz",
        "outputId": "5c78dc65-2369-4425-dd72-5bd51c222f1c"
      },
      "source": [
        "colegiox.dtypes"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "NU_INSCRICAO                object\n",
              "NO_MUNICIPIO_RESIDENCIA     object\n",
              "IDADE                        int64\n",
              "SEXO                        object\n",
              "TP_ESTADO_CIVIL              int64\n",
              "RACA                        object\n",
              "TP_NACIONALIDADE             int64\n",
              "TP_ST_CONCLUSAO              int64\n",
              "ESCOLA                      object\n",
              "CO_ESCOLA                  float64\n",
              "NO_MUNICIPIO_ESC            object\n",
              "TP_PRESENCA_CN               int64\n",
              "TP_PRESENCA_CH               int64\n",
              "TP_PRESENCA_LC               int64\n",
              "TP_PRESENCA_MT               int64\n",
              "NOTA_CN                    float64\n",
              "NOTA_CH                    float64\n",
              "NOTA_LC                    float64\n",
              "NOTA_MT                    float64\n",
              "TP_LINGUA                   object\n",
              "TP_STATUS_REDACAO          float64\n",
              "COMP1                      float64\n",
              "COMP2                      float64\n",
              "COMP3                      float64\n",
              "COMP4                      float64\n",
              "COMP5                      float64\n",
              "NOTA_REDACAO               float64\n",
              "INTERNET                    object\n",
              "dtype: object"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6pMJjefKgP8u"
      },
      "source": [
        "2) Analisar valores missing"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Jk34lwvkgTdy",
        "outputId": "47ab7745-9433-4f5e-fa07-645aabb86bd0"
      },
      "source": [
        "colegiox.isnull().sum()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "NU_INSCRICAO               0\n",
              "NO_MUNICIPIO_RESIDENCIA    0\n",
              "IDADE                      0\n",
              "SEXO                       0\n",
              "TP_ESTADO_CIVIL            0\n",
              "RACA                       0\n",
              "TP_NACIONALIDADE           0\n",
              "TP_ST_CONCLUSAO            0\n",
              "ESCOLA                     0\n",
              "CO_ESCOLA                  0\n",
              "NO_MUNICIPIO_ESC           0\n",
              "TP_PRESENCA_CN             0\n",
              "TP_PRESENCA_CH             0\n",
              "TP_PRESENCA_LC             0\n",
              "TP_PRESENCA_MT             0\n",
              "NOTA_CN                    0\n",
              "NOTA_CH                    0\n",
              "NOTA_LC                    0\n",
              "NOTA_MT                    0\n",
              "TP_LINGUA                  0\n",
              "TP_STATUS_REDACAO          0\n",
              "COMP1                      0\n",
              "COMP2                      0\n",
              "COMP3                      0\n",
              "COMP4                      0\n",
              "COMP5                      0\n",
              "NOTA_REDACAO               0\n",
              "INTERNET                   0\n",
              "dtype: int64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Gp-LFhhXgxNo"
      },
      "source": [
        "3) Analisar outliers"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iVl4Du_PgwjE"
      },
      "source": [
        "import plotly.express as px"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "id": "TL5yjLWKhH4c",
        "outputId": "f98e29c9-b80b-4efb-e610-1ddfcdebb218"
      },
      "source": [
        "grafico = px.box(colegiox_mulher, y=\"COMP5\")\n",
        "grafico.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
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          "metadata": {
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        "outputId": "3ee0160e-450a-49b8-9ad6-759fcaac9191"
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      "source": [
        "grafico = px.box(colegiox_homem, y=\"COMP5\")\n",
        "grafico.show()"
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      "execution_count": null,
      "outputs": [
        {
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\"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"xaxis\": {\"anchor\": \"y\", \"domain\": [0.0, 1.0]}, \"yaxis\": {\"anchor\": \"x\", \"domain\": [0.0, 1.0], \"title\": {\"text\": \"COMP5\"}}},\n",
              "                        {\"responsive\": true}\n",
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              "                            \n",
              "var gd = document.getElementById('b98b116b-4a38-4247-b4b4-ae13d44553cb');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
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              "            Plotly.purge(gd);\n",
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              "\n",
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              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KSbhsCFohR9O"
      },
      "source": [
        "4) Analisar Normalidade"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Y7ax_KNLh_3F"
      },
      "source": [
        "CRITÉRIOS:\n",
        "\n",
        "NÍVEL DE SIGNIFICÂNCIA DE 0,05 ou 5% (MAIS UTILIZADO)\n",
        "\n",
        "QUANDO p > 0,05 (distribuição normal)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fGuhZuEbH4ld"
      },
      "source": [
        "import scipy.stats as stats"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uAwCqFApomAk",
        "outputId": "adc79c89-f3a3-4a15-e408-c90e66a9b512"
      },
      "source": [
        "# Teste Shapiro-Wilk\n",
        "stats.shapiro(colegiox_mulher.COMP5)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.9521203637123108, 0.2238943725824356)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "w9oVvHkVdqV2",
        "outputId": "eb933520-aafe-410e-ccac-ed41434347dd"
      },
      "source": [
        "# Teste Shapiro-Wilk\n",
        "stats.shapiro(colegiox_homem.COMP5)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.9423079490661621, 0.4874751567840576)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "UZhguR7Qiy5Q",
        "outputId": "a41a6810-ad76-4da1-85b8-154361b0ba8b"
      },
      "source": [
        "import seaborn as sns\n",
        "sns.histplot(colegiox_mulher, x='COMP5', bins=6, color=\"red\", kde=True, stat=\"probability\");"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "id": "jGcVEGjJvNV1",
        "outputId": "a2f8fb83-e4c0-4b76-a9a9-25a7afc723f5"
      },
      "source": [
        "sns.histplot(colegiox_homem, x='COMP5', bins=4, color=\"green\", kde=True, stat=\"probability\");"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "89NBIIl9jHFZ"
      },
      "source": [
        "import scipy.stats as stats\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "C8sjAI4tjQaW",
        "outputId": "f7271596-8290-48aa-a5f7-875c9d364119"
      },
      "source": [
        "stats.probplot(colegiox_mulher['COMP5'], dist=\"norm\", plot=plt)\n",
        "plt.title(\"Normal QQ plot\")\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KysrKMh+liNTepEmhW2n//mEguzlz4Ljj4o5KUhBLUjCzvsAaoHz67MVAvrt3BS4FHjWzLao61t0HuXt3d+/epk2b7AQsIqn59tswFebBB4deRuPHh3Gqt9oq7sgkRVlPCmZ2BnAsUBRNII27r3T3r6L1acBHgPqnidRScXGYk7hZs/BaXJzF7WPGQMeOMGgQ7x51KXusnkmzw3tVeR7JYe6esQUoBGYnvD8SmAu0qbRfG6B5tN4eWAS0qun83bp1cxEJhg93z8tzD48JhyUvL5Rncvt/7i1zLyoKBR07+th/TEl6HokfUOLVfW9Xt6G+CzCCcFtoNbAQ6A18CHwKzIiW+6J9TwLmRGXTgV+lcg0lBZEfFRSs/0VcvhQUZGr7Oj+Zx7ysWRv3Fi3cr73WfeXKGs8j8UuWFDTzmkgj0axZ+PqtzAzWrUvv9h1YxD2cz/E8x5vsTY+ZQ+DnP08pDolf2mZeM7Nm1TUAi0i88vOTl6dnu9ObB5hLBw5nHJdxG6fkv1GREFI5j+S2GpOCmT1qZluY2abAbGCumV2R+dBEpDb69YO8vPXL8vJCeTq23/nnj5jYrBcPcDbT2YtOzOS+vMu44Z/NaxWH5Ljq7iuVL8CM6LUIGAC0AGbWdFw2FrUpiKxv+PBw794svFZu3K3T9jVr3AcMcG/Z0le23MKvbnW/N2Ntlceneh2JF/VpUzCzOUAX4FHgLnefZGbvuHvsA56rTUEkw2bPDg+fvfkmHHtsGNF0Jw1E0NDVt03hfqAU2BR41cwKgG/TF56I5JxVq+C662CvveDjj8PwFM89p4TQBNQ4dLa7DwQGJhTNN7NDMheSiMTqzTdD7WD2bPj978PcB61bxx2VZEkqDc3bmdkQMxsbve8AnJ7xyEQku5Yvh8svh333hf/9D0aNCo8iKyE0KancPnoIeBHYIXr/PnBJpgISkRi88kroVjpgAJx9dhjA7thj445KYpBKUmjt7k8A6wA8DH29NqNRiUh2LF0K55wDhx4ani575RW47z7Ycsu4I5OYpJIUvjezbQAHMLN9gKUZjUpEMm/UKOjQAR54INw2mjkzjG4qTVoqczRfCjwH7GJmrxMGr/tNRqMSkcwpK4OLLw49in7+c3jmGdh777ijkhyRSu+j6Wb2C2B3wID33H11xiMTkfRyh8cegz//Odw2uu46uPpq+MlP4o5MckiNScHMTqtUtJeZ4e4PZygmEUm3hQvD5DejR0PPnjBkSJj7QKSSVG4fJdYrNwF6EYa3VlIQyXXr1sHgwXDFFWEmtNtvh4sugubNaz5WmqRUbh9dlPjezLYCHstYRCKSHh98ELqXTpoEvXqFaTHbt487KslxdZmO83tg53QHIiJpsmYN3HYbdOoEM2aE3kXjxikhSEpSaVMYRdQdlZBEOgBPZDIoEamjmTPDEBUlJXD88XDPPbDDDjUfJxJJpU3htoT1NcB8d1+YoXhEpC5WrgwTFtx0E2y9dehldPLJ4YE0kVpIpU1hUjYCEZE6mjIl1A7mzoU//jE0Jm+zTdxRSQNVbZuCmS0zs2+rWJaZWUpDZ5vZUDP7wsxmJ5S1MrNxZvZB9Lp1VG5mNtDMPjSzmWa2V/3/PJHGp7gYCgthM/ueIVv8Bd9vP1i2DMaMgYcfVkKQeqk2Kbj75u6+RRXL5u6e6jzNDwFHViq7Gpjg7rsCE6L3AEcBu0ZLH+De2vwhIk1BcTH06QM/nT+eWexJ72V3MKj5eTz+f7PhqKPiDk8agZR7H5nZtmaWX76kcoy7vwp8Xan4eGBYtD4M+HVC+cPRbHFTgK3MrG2q8Yk0Bbdc8w0Dl/dmPIezmhYcxCTOXXM3V/VL9XeaSHKpzKdwnJl9AHwCTCLMwja2Htfczt0XR+ufA9tF6zsCnybstzAqqxxPHzMrMbOSsrKyeoQh0sA88wwvfNqB0xnGzVxFZ97hNQ4CYMGCmGOTRiOVmsINwD7A++6+M+GJ5inpuHg0gXTySaI3PGaQu3d39+5t2rRJRxgiuW3JktCT6IQT+KbFtvRkKtdwMz/QsmKX/JTq7iI1SyUprHb3r4BmZtbM3V8BqpzwOUVLym8LRa9fROWLgHYJ++0UlYk0Te7wyCNheOtnn4Ubb2TG4LeYl9dtvd3y8kJvVJF0SCUpfGNmmwGvAsVmdifhqea6eo4fp/M8HXg2ofy0qBfSPsDShNtMIk3LggVwzDFw2mmw++7hyeS+ffn96S0YNAgKCsIjCAUFYfSKoqK4A5bGwsIdnCo2mP0WGAU0B1YQEkgRsCVQHNUekp/cbARwMNAaWAJcCzxDeCI6H5gPnOzuX5uZAXcReistB85095Jk5+/evbuXlCTdRaRhWbcuzHx21VVh/Z//hAsv1AB2klZmNs3dq7zjk+zhtd8DdxPmZx4BvOjuw5LsvwF3P7WaTb2q2NeBC2pzfpFG5b33wgB2r70Ghx8O998PO2uYMcmuZM8pnAD8FBgPXAQsNLP7ogl3RCRd1qyBm2+Gzp1h1ix48EF48UUlBIlF0mEu3P1bwrMEw6J5mn8DDDSzVu7eLtmxIpKCGTPCEBXTp8OJJ8Ldd8P228cdlTRhKT28Fg1FcSLwO6AV8GQmgxJp9H74Af72tzA38qJF8OSTMHKkEoLErtqaQtTj6ATgVKAroXfQDcBEr651WkRqNnlyqB3MmwdnnAEDBkCrVnFHJQIkv31UCrwA3ENoZF6dlYhEGqvvvoO//hXuuis8bfbii/DLX8Ydlch6kiWFdu6+ImuRiDRmL70URrJbsCB0Mf3nP2GzzeKOSmQDyXofKSGI1NfXX8OZZ8IRR8Amm4TupgMHKiFIzqrLHM0ikoqRI8MQFY88Em4bzZgB++8fd1QiSaUyHaeI1Mbnn4dbRCNHQteu8MIL0KVL3FGJpCRZ76NRJBnB1N2Py0hEIg2VOwwbBn/5C6xYER5Iu+wy2Ei/vaThSPav9bbo9URge2B49P5UwjhGIlKutDQ0JI8bBwccAA88EAayE2lgqk0K7j4JwMwGVBo4aZSZaRQ6EQiD1t19N1xzTRi29O674dxzoZma66RhSqVeu6mZtXf3jwHMbGdg08yGJdIAvPsunHVWeBjtyCPD6KYFBXFHJVIvqfyc+Qsw0cwmmtkk4BXgksyGJVJ3xcVQWBh+rBcWhvepbEu2PbH8pwWrmXHyP0Pj8bx5TD73YQrnjqHZzgW1ul594hTJGHevcQE2BjpHy8apHJONpVu3bi6SaPhw97w899DqG5a8vFCebFuyY88778fyrkzzt+nsDl7a47f+5N2f1+l69YlTpL6AEq/me7XaSXbKmVkecClQ4O5nm9muwO7uPjqz6apmmmRHKisshPnzNywvv6tT3bbS0uqPbd4cWqxdwd+5niu4lTLacD738HbBCUnPmYltpaUblovUVrJJdlJJCo8D04DT3H3PKElMdvfYO14rKUhlzZqF39aVmYXX6ratW1f9sQfwGg9wFrvzPkM5k8sYwDdsXeM5M7Ft3boNy0VqK1lSSKVNYRd37w+sBnD35YClMT6RtMnPr7482baqjt2MZdzFBbzGQfyEVRzGOHozlG/YOqVzZmKbSKalkhRWmVlLogfZzGwXYGVGoxKpo379IC9v/bK8vFCebFvlY49kLHPoyHncy4ROl9Cz5SwmcFitzpmJbSIZV11jQ/kCHA5MAsqAYsKQ2gfXdFyS8+0OzEhYviX0ZvoHsCih/OiazqWGZqnK8OHuBQXuZuE1sYE22TZ39yfu/dKf3PSP7uDvt9jDX7h2cr3OmYltIvVFXRuazawZYQrOCcA+hNtGU9z9y3QkJDNrHiWCnsCZwHfuflvyo36kNgVJG/cw+9mFF4aRTa+5Bvr2hY03jjsykbRL1qZQ0xzN68zsSnd/Ang+A7H1Aj5y9/lmaqaQmCxeDOefD888A926haEqOnWKOyqRWKTSpjDezC43s3Zm1qp8SdP1TwFGJLy/0MxmmtnQaF7oDZhZHzMrMbOSsrKyNIUhTZI7DB0Ke+wRRjLt3x+mTFFCkCYtlS6pn1RR7O7evl4XNvsJ8BnQ0d2XmNl2wJeEBu0bgLbu/qdk59DtI6mzTz4JA9iNHw8HHRQGsNt117ijEsmKOt8+AnD3ndMfEgBHAdPdfUl0nYqRV81sMBD7w3HSCK1dG+ZI/utfw1Np994bkoMGsBMBUrh9ZGZ5ZvY3MxsUvd/VzI5Nw7VPJeHWkZm1Tdh2AjA7DdcQ+dHcuWFY60sugV/8AubM0YimIpWk8n/Dg8AqYL/o/SLgxvpc1Mw2JXR1fSqhuL+ZzTKzmcAhhIH4ROpv1Sq44YYwC9oHH8Dw4fD889CuXdyRieScVIbO3sXdf2dmp0J4otnq2VXI3b8HtqlU9sf6nFOkSiUl0Ls3zJwJp5wCd94J224bd1QiOUtPNEvjtGIFXHkl9OwJX34Jzz4LI0YoIYjUIJWawrXAC0A7MysG9gfOyGRQIvUyaRKcfXa4VXT22XDrrbDllnFHJdIgpNL7aJyZTefHJ5ovTtcTzSJp9e23cNVVYQa09u1hwgQ49NC4oxJpUKpNCma2V6WixdFrvpnlu/v0zIUlUktjxsA558Bnn8Gll8L118OmmjVWpLaS1RQGRK+bAN2Bdwg1hU5ACbBvZkMTScGXX4YupsXF0KFDGL+oZ8+4oxJpsKptaHb3Q9z9EEINYS937+7u3YCuhG6pIvFxh8ceC0NUPPEE/P3vMH26EoJIPaXS0Ly7u88qf+Pus81sjwzGJJLcokVhALvnnoO994YhQ+DnP487KpFGIZWkMMvMHgCGR++LgJmZC0mkGu5hjKLLL4fVq2HAALj44jBchYikRSrPKZwBzAEujpa5hLkPRDZQXAyFhWHkiMLC8D4d+zz7r4+gV68wTlG3bjx74ywKB15KsxbNqz2HiNRBdbPvRKOnNgdeSbZPnItmXsstw4e75+W5h5/0YcnL23BGsdrs04w1/hcG+Pe09JUtt3AfNMiHP7KuxnOISPWo68xrAGY2ATjR3ZdmPkXVjobOzi2FhTB//oblBQVQWlr7fToymyH0pidv8hy/ot+O9zJ14Y4pnUNEqlevobOB7wjtCuOA78sL3f3PaYpPGokFC2ouT2WfxfNX8Xduoi/9WMqWnMIIHud32GeW8jlEpG5SSQpPsf5opiJVys+v+hd8fn4t9nnzTd5p0ZufrZ7No5zKxdzJl7RZb59UriMidZNKQ/PjwLRoedzdh7n7sMyGJQ1Rv36Ql7d+WV5eKK9pn5v/vjz0Ktp3X/I3+x8nbTyKIh6tSAiJ50nlOiJSR9U1NhBqEf0JU2ROA6YDZVFZi+qOy+aihubcM3y4e0GBu1l4rarxt/I+4/76snv79qHF+Nxz3ZcurfE8qVxHRKpGXRqazex2YHPgL+6+LCrbArgNWOHuF2c4X9VIDc0N3NKlcMUVMHgw/PSn4RmEX/wi7qhEGr1kDc3Jbh8dC5xdnhAA3P1b4Dzg6PSGKE3OqFFhrKIhQ0JieOcdJQSRHJAsKZRXMyoXriWacEek1srK4NRT4bjjYJttYOpU6N9/w0YCEYlFsqQw18xOq1xoZn8A5mUuJGmU3OHRR8MAdiNHhqGtS0qge5U1WBGJSbIuqRcAT5nZnwgNzRCG0G4JnFDfC5tZKbAMWAuscffuZtaK0NupECgFTnb3/9X3WhKzTz+F886D55+HffYJbQcdO8YdlYhUIdnQ2YvcvSdwPeELuhS43t17uHu6hs4+xN27JDR4XA1McPddgQnRe2mo1q2D++8PCeCVV+COO+C//1VCEMlhqUzH+TLwchZiATgeODhaHwZMBK7K0rUlncrnR540KQxkN2hQmCJTRHJaKg+vZYoDL5nZNDPrE5Vt5+7l035+DmxX+SAz62NmJWZWUlZWlq1YJVVr1sCtt0KnTjBjRuhdNG6cEoJIA5HKMBeZcoC7LzKzbYFxZrZe47W7u5lV1ftpEDAIwnMK2QlVUjJzJvTuHRqQjz8e7rkHdtgh7qhEpBZiqymUt0u4+xfA00APYImZtQWIXr+IKz6phZUrw3SY3bqFUemeeAKefloJQaQBiiUpmNmmZrZ5+TrwS2A28BxwerTb6cCzccQntfDGG9C1K5hzxqMAABFySURBVNxwQ3j+YO5c+O1vwSzuyESkDuK6fbQd8LSFL46NgEfd/QUzewt4wsx6A/OBk2OKT2ry/ffQty8MHAg77QRjxsBRR8UdlYjUUyxJwd0/BjpXUf4V0Cv7EUmtjB8fehaVlsIFF8BNN8Hmm8cdlYikQZy9j6Sh+eab0JB8+OHQogW8+ircdZcSgkgjoqQgqXnmmTCA3bBhcPXVYQC7Aw+MOyoRSTMlhSaquDjMhdysWXgtLq5mxyVLmN/zZDjhBGYs3pZj20yleM+boGXLLEYrItkS53MKEpPiYujTB5YvD+/nzw/vAYqKop3cYfhwVp5/Cdt/9x1/pR+3cgVrPm/BK5X3FZFGo9pJdhoCTbJTN4WFVc9xXFAQ2o5ZsADOPRfGjqVk4/34w8ohvMfPqt5XRBqcuk6yI43UggVVl386f114Crljx9CIPHAgPVe+tkFCSHYOEWnYlBSaoPz8Dct24z3e2PgXoYvpfvvBnDlw0UW0K6j6n0hV5xCRhk9JoQnq1+/Hic6as4aruJl36EznjebAQw/BCy+E+0OV9i2XlxfKRaTxUUNzE1TeQFx8xQxuWNybbkxnwd4nkf/cXbD99lXu27dvuGWUnx8SghqZRRonJYWm6IcfKJp7A0Vf3ALbtYa7nyT/pJOq3b2oSElApKlQUmhqXn8dzjoL5s2DM86AAQOgVau4oxKRHKE2habiu+/gz38OTyGvWAEvvggPPqiEICLrUVJoCl56CfbcM4xTdNFFMHs2/PKXcUclIjlISaEx+/prOPNMOOKIMCzFa6/BnXfCZpvFHZmI5CglhcZq5MgwgN0jj4SuQ2+/DfvvH3dUIpLj1NDc2Hz+OVx4YUgKXbuGZw66dIk7KhFpIFRTaCzcw4NnHTrA6NFw883w5ptKCCJSK6opNAalpWGY03HjQu+iwYNh993jjkpEGiDVFBqydevg3/8OPYveeAPuvhsmTlRCEJE6y3pSMLN2ZvaKmc01szlmdnFU/g8zW2RmM6Ll6GzH1qDMmxdqBeXPHsyZA+efH2bNERGpozhuH60BLnP36Wa2OTDNzMZF225399tiiKnhWL0abr0VrrsudC19+GH4wx/ALO7IRKQRyHpScPfFwOJofZmZvQvsmO04GqTp06F3b5gxA04+GQYOhO22izsqEWlEYr3XYGaFQFdgalR0oZnNNLOhZrZ1Ncf0MbMSMyspKyvLUqQxW7ECrrkGevQIXU6ffhoef1wJQUTSLrakYGabASOBS9z9W+BeYBegC6EmMaCq49x9kLt3d/fubdq0yVq8sXnttdCt9OabwwB2c+fCr38dd1Qi0kjFkhTMrAUhIRS7+1MA7r7E3de6+zpgMNAjjthyxrJlYRa0gw6CVatCd9MHHoCtf6xAFReH+ZabNQuvxcWxRSsijUTW2xTMzIAhwLvu/q+E8rZRewPACcDsbMeWM8aOhXPOgYUL4ZJL4MYbYdNN19uluDg8mrB8eXg/f354D5r7QETqLo6awv7AH4FDK3U/7W9ms8xsJnAI8JcYYovXV1/BaafB0UeHnkWvvw63375BQoAwnFF5Qii3fHkoFxGpqzh6H/0XqKr/5Jhsx5Iz3OHJJ8OYRV9/Df/3f+HbfeONqz1kwYLalYuIpEJPOsXts8/gxBNDF9N27WDaNLj++qQJAcJcybUpFxFJhZJCXNxhyJAwgN0LL0D//jBlCnTqlNLh/fpBXt76ZXl5oVxEpK6UFOLw8cdw+OFhruTOnWHmTLjiCtgo9bt5RUUwaBAUFISHmQsKwns1MotIfWiU1GxauzYMYNe3LzRvDvfeG7oM1XG8oqIiJQERSS8lhWyZOzcMUTFlSuhddN99oQ1BRCSH6PZRpq1aBTfcEJ5K/uCD8IDB6NFKCCKSk1RTyKS33gq1g1mz4JRTwgB2TWFoDhFpsFRTyITly+HKK2GffcIDac8+CyNGKCGISM5TTSHdJk0KvYo+/BDOPjvMfbDllnFHJSKSEtUU0mXpUjj3XDj44DBN5oQJoY+oEoKINCBKCunw/PPQsSMMHgyXXhraEA49NO6oRERqTUmhPsrKwoMCxx4LW20FkyfDgAEbPmosItJAKCnUhTs89lgYouI//4F//CNMldmzZ9yRiYjUixqaa2vhQjj/fBg1KkyPOWQI7Lln3FGJiKSFagqpWrcuNBx37Ajjx4fbRJMnKyGISKOimkIqyruXTpwYehcNHgw//WncUYmIpJ1qCsmsXRtqBJ06hTaDQYPg5ZeVEESk0VJNoTqzZ8Of/hSGqvjVr8KIpjvuGHdUIiIZpZpCZStXht5Ee+0Fn3wShqd49lklBBFpEnIuKZjZkWb2npl9aGZXZ+IaxcVQWBimMSgsDO8BmDoVunWD664L02O++24YyM6qmlI6zdcWEckBOZUUzKw5cDdwFNABONXMOqTzGsXFYV6b+fPD4wbz58MlZ3/Pu0ddCvvuG4arGD0ahg+H1q3Teekqr92njxKDiOSOnEoKQA/gQ3f/2N1XAY8Bx6fzAn37hkFMyx3Cy0xZ0Yk9XrgdzjkH5syBY45J5yWrvTaE9337ZuRyIiK1lmtJYUfg04T3C6OyCmbWx8xKzKykrKys1hdYsCC8bsk3DOJsXqYX62jGwUwMjclbbFHn4FO9dqrlIiLZlmtJoUbuPsjdu7t79zZ1mJ8gPx+6UcIcOvInhnILV9KJmZQW/CID0W547dqUi4hkW64lhUVA4jyVO0VladOvH3zesj1z6EhPpnI1t9AsryX9+qXzKtVfu/JYeXl5ZOXaIiKpyLXnFN4CdjWznQnJ4BTg9+m8QFERQCv69H2JBQugID98KYfyzCq/Rt++4ZZRfhavLSKSCnP3uGNYj5kdDdwBNAeGunu1v6O7d+/uJSUlWYtNRKQxMLNp7t69qm25VlPA3ccAY+KOQ0SkKcq1NgUREYmRkoKIiFRQUhARkQpKCiIiUkFJQUREKigpiIhIhZx7TqE2zKwMmF/Lw1oDX2YgnHTI1dhyNS5QbHWRq3GBYquLusRV4O5VjhPUoJNCXZhZSXUPbcQtV2PL1bhAsdVFrsYFiq0u0h2Xbh+JiEgFJQUREanQFJPCoLgDSCJXY8vVuECx1UWuxgWKrS7SGleTa1MQEZHqNcWagoiIVENJQUREKjT6pGBmt5rZPDObaWZPm9lW1ex3pJm9Z2YfmtnVWYrtt2Y2x8zWmVm1XcrMrNTMZpnZDDPL+AQStYgrjs+slZmNM7MPotetq9lvbfR5zTCz5zIYT9LPwMw2NrPHo+1TzawwU7HUIbYzzKws4XM6K0txDTWzL8xsdjXbzcwGRnHPNLO9shFXirEdbGZLEz6zv2cprnZm9oqZzY3+37y4in3S87m5e6NegF8CG0XrtwC3VLFPc+AjoD3wE+AdoEMWYtsD2B2YCHRPsl8p0DqLn1mNccX4mfUHro7Wr67qv2e07bssxFLjZwCcD9wXrZ8CPJ6l/4apxHYGcFe2/l0lXPcgYC9gdjXbjwbGAgbsA0zNodgOBkbH8Jm1BfaK1jcH3q/iv2daPrdGX1Nw95fcfU30dgph3ufKegAfuvvH7r4KeAw4Pguxvevu72X6OrWVYlyxfGbRNYZF68OAX2fhmtVJ5TNIjPdJoJeZWY7EFgt3fxX4OskuxwMPezAF2MrM2uZIbLFw98XuPj1aXwa8C+xYabe0fG6NPilU8idCJq1sR+DThPcL2fADj5MDL5nZNDPrE3cwkbg+s+3cfXG0/jmwXTX7bWJmJWY2xcwylThS+Qwq9ol+nCwFtslQPLWNDeCk6FbDk2bWLgtxpSLX/3/c18zeMbOxZtYx2xePbkF2BaZW2pSWzy3npuOsCzMbD2xfxaa+7v5stE9fYA1QnGuxpeAAd19kZtsC48xsXvSLJu64MiJZbIlv3N3NrLo+1QXRZ9YeeNnMZrn7R+mOtYEbBYxw95Vmdg6hRnNozDHluumEf1vfRfPJPwPsmq2Lm9lmwEjgEnf/NhPXaBRJwd0PS7bdzM4AjgV6eXTzrZJFQOKvpJ2isozHluI5FkWvX5jZ04RbA/VKCmmIK5bPzMyWmFlbd18cVY2/qOYc5Z/Zx2Y2kfDLKt1JIZXPoHyfhWa2EbAl8FWa46hTbO6eGMcDhPaaXJCxf1v1lfhF7O5jzOweM2vt7hkfKM/MWhASQrG7P1XFLmn53Br97SMzOxK4EjjO3ZdXs9tbwK5mtrOZ/YTQIJixHiu1YWabmtnm5euEhvMqe0ZkWVyf2XPA6dH66cAGtRoz29rMNo7WWwP7A3MzEEsqn0FivL8BXq7mh0nWY6t0v/k4wn3qXPAccFrUm2YfYGnCLcNYmdn25W1CZtaD8B2a8SQfXXMI8K67/6ua3dLzuWW7FT3bC/Ah4T7bjGgp7wmyAzAmYb+jCS36HxFuoWQjthMI9/1WAkuAFyvHRug98k60zMlGbKnEFeNntg0wAfgAGA+0isq7Aw9E6/sBs6LPbBbQO4PxbPAZANcTfoQAbAL8J/p3+CbQPhufU4qx3RT9m3oHeAX4WZbiGgEsBlZH/856A+cC50bbDbg7insWSXrmxRDbhQmf2RRgvyzFdQChbXFmwnfZ0Zn43DTMhYiIVGj0t49ERCR1SgoiIlJBSUFERCooKYiISAUlBRERqaCkIDnBzLZJGHnyczNbFK1/Y2aZeMYgWSy/NrMOCe+vN7NaP+xnZoXVjbaZDWb210rvJ0evscYluU1JQXKCu3/l7l3cvQtwH3B7tN4FWJfu60VPF1fn10BFUnD3v7v7+HTHkAXrJQV33y+uQKThUFKQhqC5mQ2OxpF/ycxaApjZLmb2QjRQ4Gtm9rOovNDMXo4GeptgZvlR+UNmdp+ZTQX6V3W8me1HeLr31qimskt03G+ic+xtZpOjAdHeNLPNo+u9ZmbToyXpl2/0xOldFuY6GG9mYxLOXxo9hY2ZdY+G6MDMepjZG2b2dnT93aPyM8zsqejv+MDM+kflNwMto7+hOCr7ropYmluYc+St6PM6Jypva2avRsfPNrMD6/nfUBqKbD0pqEVLqgvwD+DyaL2QMJBhl+j9E8AfovUJwK7Rek/CEBIQBno7PVr/E/BMtP4QMBpoXsPxDwG/SYjnIcIQFT8BPgb2jsq3IIwflgdsEpXtCpQkxL7BuPzAicA4wpwHOwDflF+PhLkzCE9pT0y8VrR+GDAyWj8jimlLwtPT84F20bbvKl33u8pxAX2Av0XrGwMlwM7AZfz4FHRzYPO4/11oyc7SKAbEk0bvE3efEa1PAwotjBa5H/Af+3F6go2j130JX7wAj7D+QG//cfe1NRxfnd2Bxe7+Fvw4OFo0JtVdZtYFWAvsVsN5DiKMTroW+MzMXq5hfwhf+sPMbFfCcActErZNcPelUSxzgQLWH0I5mV8CncprKtF1diWMnTTUwiBszyR8/tLIKSlIQ7AyYX0t0JJw6/MbD+0OtfF99FrX46vyF8IYUZ2j8/5Qj3Ot4cfbupsklN8AvOLuJ1gYT39iwrbKn09t/r824CJ3f3GDDWYHAccAD5nZv9z94VqcVxootSlIgxT9Sv/EzH4LFffpO0ebJxNGBQUoAl6r5fHLCFMeVvYe0NbM9o6O2dx+HA57sbuvA/5IuN2SzKvA76L7+W2BQxK2lQLdovWTEsq35MdhkM+o4fzlVke/9JN5ETivfD8z283CyLwFwBJ3H0wYVjtr8yRLvJQUpCErAnqbWfkIsuXTTV4EnGlmMwlf0htMcl7D8Y8BV0SNuruU7+xhWsvfAf+OjhlH+DV/D3B6VPYzfqyNVOdpwiivc4GHgTcStl0H3GlmJYRf/eX6AzeZ2dukXhMYBMwsb2iuxgNRHNOjbqr3R+c/GHgnut7vgDtTvKY0cBolVSRmZvYQYTL4J+OORUQ1BRERqaCagoiIVFBNQUREKigpiIhIBSUFERGpoKQgIiIVlBRERKTC/wPo2gBpTsIjQwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "T4IIcC9cfAw0",
        "outputId": "f4d625ec-7454-4ba9-9ccc-e4df72fc269f"
      },
      "source": [
        "stats.probplot(colegiox_homem['COMP5'], dist=\"norm\", plot=plt)\n",
        "plt.title(\"Normal QQ plot\")\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OC_jCCbr3Dmf"
      },
      "source": [
        "5) HOMOGENEIDADE DAS VARIÂNCIAS (HOMOCEDASTICIDADE)\n",
        "\n",
        "Variabilidade dos erros constante."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iJ4KW8YK3RKE"
      },
      "source": [
        "Ho = variâncias homogêneas : p > 0.05\n",
        "\n",
        "Ha = variâncias não homogêneas : p <= 0.05"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NlU2PELGzi2t"
      },
      "source": [
        "# teste de Levene\n",
        "from scipy.stats import levene"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Gy5flz0GzVoN",
        "outputId": "2b80409f-7227-4c97-eeac-21ec7f8c21c0"
      },
      "source": [
        "stat, p = levene(colegiox_mulher.COMP5, colegiox_homem.COMP5, center='mean')\n",
        "print('Estatística de teste: {}'.format(stat.round(2)))\n",
        "print('p-valor: {}'.format(p.round(10)))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Estatística de teste: 0.07\n",
            "p-valor: 0.7899416696\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4rmFTSIiiUGV"
      },
      "source": [
        "**TESTE Z para duas amostras independentes**\n",
        "\n",
        "Comparação das Médias das notas do componente 5 da redação entre homens e mulheres do colégio X."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "IAnRzT0_xGiN"
      },
      "source": [
        "Ho = NÃO HÁ DIFERENÇA ENTRE AS MÉDIAS ENTRE HOMENS E MULHERES : p > 0.05\n",
        "\n",
        "Ha = HÁ DIFERENÇA ENTRE AS MÉDIAS ENTRE HOMENS E MULHERES : p <= 0.05"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vJ9fMU6Sy2bp",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "37ecab16-9e7c-4a72-fdae-144d12baf67c"
      },
      "source": [
        "from statsmodels.stats.weightstats import ztest"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning:\n",
            "\n",
            "pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QgeATvp6f8A8",
        "outputId": "4a0b1e4c-ea25-48ee-a22d-2592db80d9b4"
      },
      "source": [
        "stat, p = ztest(colegiox_mulher.COMP5, colegiox_homem.COMP5)\n",
        "print('Estatística de teste: {}'.format(stat.round(2)))\n",
        "print('p-valor: {}'.format(p))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Estatística de teste: 0.96\n",
            "p-valor: 0.3394918950042334\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FzR1rSkSgGwY",
        "outputId": "629bb1b3-5f10-4e84-b787-6f4d8f8e4053"
      },
      "source": [
        "colegiox_mulher.COMP5.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count     28.000000\n",
              "mean      86.428571\n",
              "std       43.903453\n",
              "min        0.000000\n",
              "25%       60.000000\n",
              "50%       80.000000\n",
              "75%      120.000000\n",
              "max      160.000000\n",
              "Name: COMP5, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tDPmHRt_gfQ8",
        "outputId": "2cc44345-2513-4bd7-ec73-cc50f4be76a9"
      },
      "source": [
        "colegiox_homem.COMP5.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count     13.000000\n",
              "mean      72.307692\n",
              "std       44.376016\n",
              "min        0.000000\n",
              "25%       40.000000\n",
              "50%       80.000000\n",
              "75%      100.000000\n",
              "max      140.000000\n",
              "Name: COMP5, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Oanhqgecveuo"
      },
      "source": [
        "**INTERPRETAÇÃO:**\n",
        "\n",
        "Teste estatístico: 0,96\n",
        "\n",
        "p_valor = 0,339\n",
        "\n",
        "Conclusão: Estatisticamente, com intervalo de confiança de 95%, não se pode concluir que a média do componente 5 de redação do colegio X seja diferente entre homens e mulheres.\n",
        "\n"
      ]
    }
  ]
}