\n"
+ ],
+ "text/plain": [
+ " Age Gender Ethnicity ParentalEducation GPA\n",
+ "0 17 1 0 2 2.929196\n",
+ "1 18 0 0 1 3.042915\n",
+ "2 15 0 2 3 0.112602\n",
+ "3 17 1 0 3 2.054218\n",
+ "4 17 1 0 2 1.288061\n",
+ "... ... ... ... ... ...\n",
+ "2387 18 1 0 3 3.455509\n",
+ "2388 17 0 0 1 3.279150\n",
+ "2389 16 1 0 2 1.142333\n",
+ "2390 16 1 1 0 1.803297\n",
+ "2391 16 1 0 2 2.140014\n",
+ "\n",
+ "[2392 rows x 5 columns]"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = df[['Age', 'Gender', 'Ethnicity', 'ParentalEducation','GPA']]\n",
+ "df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "Le5xnfN_c3Am",
+ "outputId": "58abf916-740c-49a0-d1bc-a50a4786dc6a"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0 2.929196\n",
+ "1 3.042915\n",
+ "2 0.112602\n",
+ "3 2.054218\n",
+ "4 1.288061\n",
+ " ... \n",
+ "2387 3.455509\n",
+ "2388 3.279150\n",
+ "2389 1.142333\n",
+ "2390 1.803297\n",
+ "2391 2.140014\n",
+ "Name: GPA, Length: 2392, dtype: float64"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df_gpa = df.loc[:, 'GPA']\n",
+ "df_gpa"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "tpQLEMMmd-gi",
+ "outputId": "97175b20-3391-46d7-bae8-9fc4b03b129e"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0 2.93\n",
+ "1 3.04\n",
+ "2 0.11\n",
+ "3 2.05\n",
+ "4 1.29\n",
+ " ... \n",
+ "2387 3.46\n",
+ "2388 3.28\n",
+ "2389 1.14\n",
+ "2390 1.80\n",
+ "2391 2.14\n",
+ "Name: GPA, Length: 2392, dtype: float64"
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df_gpa = df_gpa.round(2)\n",
+ "df_gpa"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "BCPdSouEcZnd"
+ },
+ "source": [
+ "# **Teste T-Student:**\n",
+ "Hipótese nula (H0): a média das notas (GPA) é igual a 2.0.\n",
+ "\n",
+ "Hipótese alternativa (H1): a média das notas (GPA) é diferente de 2.0 (two-sided - maior ou menor)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 53,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "IHOMfQQXi2XW",
+ "outputId": "ca59e807-bbc5-44b5-c348-134067accf57"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Média populacional: 2\n",
+ "Média amostral: 1.9061863027265407\n",
+ "Estatística t: -5.013624381766575\n",
+ "Valor p: 5.733044870766935e-07\n"
+ ]
+ }
+ ],
+ "source": [
+ "h0 = 2\n",
+ "h1 = 'two-sided'\n",
+ "media_gpa = df_gpa.mean()\n",
+ "print('Média populacional:', h0)\n",
+ "print('Média amostral:', media_gpa)\n",
+ "t_statistic, p_value = stats.ttest_1samp(df_gpa, popmean= h0)\n",
+ "\n",
+ "print('Estatística t:', t_statistic)\n",
+ "print('Valor p:', p_value)\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "a_47OKgympb0",
+ "outputId": "e54aa321-0633-4a62-f93b-b91d5d896809"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Rejeitamos a hipótese nula. A média do GPA dos alunos é significativamente diferente de 2.\n"
+ ]
+ }
+ ],
+ "source": [
+ "if p_value <= 0.05:\n",
+ " print(f\"Rejeitamos a hipótese nula. A média do GPA dos alunos é significativamente diferente de {h0}.\")\n",
+ "else:\n",
+ " print(f\"Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a média do GPA dos alunos é diferente de {h0}.\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 472
+ },
+ "id": "EIKUbCznlfL-",
+ "outputId": "617306f0-969e-4cc5-a953-0416d94a1d00"
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(df_gpa, bins=10, edgecolor='black')\n",
+ "plt.xlabel('GPA')\n",
+ "plt.ylabel('Frequência')\n",
+ "plt.title('Distribuição de Frequências')\n",
+ "\n",
+ "plt.axvline(h0, color='red', linestyle='--', label='Média Populacional (2.0)')\n",
+ "plt.axvline(df_gpa.mean(), color='blue', linestyle='-', label='Média Amostral')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "colab": {
+ "provenance": []
+ },
+ "kernelspec": {
+ "display_name": "Python 3",
+ "name": "python3"
+ },
+ "language_info": {
+ "name": "python"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/exercicios/para-casa/relatorioS13.md b/exercicios/para-casa/relatorioS13.md
new file mode 100644
index 0000000..e3440e2
--- /dev/null
+++ b/exercicios/para-casa/relatorioS13.md
@@ -0,0 +1,42 @@
+**Título:** Analisando a média de notas (Grade Point Average - GPA) de estudantes utilizando o Teste T-Student
+
+**1. Introdução**
+Apresentamos neste relatório uma análise sobre a média de notas de estudantes de 15 até 18 anos, utilizando dados coletados em uma pesquisa. Tal análise busca responder à seguinte pergunta: **A média de notas dos estudantes é igual a 2.0?**. O valor 2.0 é considerado como conceito 'D', abaixo do regular, conforme apresentado na escala de notas de 0 a 4, a seguir:
+
+0: 'A' (GPA >= 3.5)
+1: 'B' (3.0 <= GPA < 3.5)
+2: 'C' (2.5 <= GPA < 3.0)
+3: 'D' (2.0 <= GPA < 2.5)
+4: 'F' (GPA < 2.0)
+
+Compreender em qual faixa de notas se encontram a maioria dos estudantes é fundamental para saber se as estratégias educacionais atuais são funcionais.
+
+**2. Materiais e métodos**
+Para responder à pergunta norteadora da pesquisa, utilizamos:
+* Conjunto de dados: disponível na plataforma Kaggle, utilizamos o *dataset* denominado *Students Perfomance Dataset*. Os dados apresentam diversas informações sobre os 2392 estudantes do Ensino Médio estadounidense (*High School*), tais como gênero, idade, etnia, entre outros.
+* Teste de Hipóteses: para analisar as informações obtidas na coluna GPA da tabela, utilizamos o Teste T-Student, que indica a diferença entre a média real dos dados e a média estipulada pela pergunta inicial.
+* Análise: utilizamos a biblioteca **scipy.stats** do Python para desenvolver o Teste T-Student. Os passos da análise incluem:
+
+ a. Importar as bibliotecas necessárias.
+ b. Carregar o conjunto de dados.
+ c. Criar uma tabela destacando apenas as médias GPA.
+ d. Realizar o Teste T-Student.
+ e. Interpretar os resultados do teste, incluindo o valor p e a estatística T.
+
+**3. Resultados**
+Dentre o cálculo de algumas medidas descritivas, obtivemos o valor da média das amostras:
+* Média amostral: 1.9061863027265407
+
+Já o Teste T-Student retornou os seguintes resultados:
+
+* Estatística T: -5.013624381766575
+* Valor p: 5.733044870766935e-07
+
+
+**4. Resultados**
+O valor p obtido (5.733044870766935e-07) é menor que o nível de significância usual de 0.05. Isso indica que há evidências suficientes para rejeitar a hipótese nula de que a média de GPA seja igual a 2.0.
+É importante ressaltar que não consideramos apenas o Teste T-Student para analisar o resultado. Calculamos a média dos dados por meio da função **.mean()**, que confirmou que o valor da média não é 2.0, mas sim aproximadamente 1.91.
+
+**5. Conclusão**
+A análise desenvolvida com o Teste T-Student sugere que a média proposta na hipótese (2.0) difere da média real das amostras (1.91), ou seja, a maioria das médias dos estudantes é considerada como conceito F. Dessa maneira, compreendemos que as estratégias educacionais precisam ser aprimoradas, a fim de auxiliar os estudantes a se desenvolverem de forma mais satisfatória e, consequentemente, aumentar a média GPA.
+