
Distribución de probabilidades para resolver problemas de diferencia entre medias y proporciones muestrales
Distribución de probabilidades para resolver problemas de diferencia entre medias y proporciones muestrales
Para resolver problemas de diferencia entre medias y proporciones muestrales, la distribución de probabilidad más comúnmente utilizada es la distribución normal en ciertos escenarios, o la distribución t de Student cuando la varianza poblacional es desconocida y la muestra es pequeña. Aquí te resumo los principales enfoques:[br][br][b]1. Diferencia entre medias muestrales[/b][list][*]Cuando la varianza poblacional es conocida y la muestra es grande (n ≥ 30):[br]La diferencia entre medias se modela como una distribución normal:[/*][/list][br][math]Z=\frac{\left(X_1-X_2\right)-\left(\mu_1-\mu_2\right)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}\Longrightarrow N\left(0,1\right)[/math][br][br][list][*]Cuando la varianza poblacional es desconocida y la muestra es pequeña:[br]Se usa la distribución t de Student:[/*][/list][math]T=\frac{\left(X_1-X_2\right)-\left(\mu_1-\mu_2\right)}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}}\Longrightarrow t_{df}[/math][br][br][br]En donde [math]s^2_1[/math], [math]s_2^2[/math] son las varianzas muestrales y [math]df[/math]df son los grados de libertad, calculados con fórmulas específicas (por ejemplo, de Welch).[br][br][br][b]2. Diferencia entre proporciones muestrales[/b][br][br]La diferencia entre proporciones se modela mediante una distribución normal cuando las muestras son grandes, gracias a la Teorema Central del Límite:[br][br][math]Z=\frac{\left(p'_1-p'_2\right)-\left(p_1-p_2\right)}{\sqrt{p\left(1-p\right)\frac{1}{n_1}+\frac{1}{n_2}}}\Longrightarrow N\left(0,1\right)[/math][br][br][br]En donde [math]p'_1[/math], [math]p'_2[/math] son las proporciones muestrales y [math]p[/math] es una proporción combinada.
Ejemplo práctico 1.
[i]El sueldo mensual de los licenciados en educación en Bogotá es de $920.000 como promedio, con una desviación estándar de $31.500. En la misma ciudad, el salario mensual de los economistas en la administración pública es de $925.000, con una desviación estándar de $52.500. Se toma una muestra aleatoria de 100 de cada población. ¿Cuál es la probabilidad de que la diferencia en las asignaciones B sea superior a las de A en $12.510?[/i][br][br][b]Datos [/b][b]que nos proporciona el enunciado:[/b][br][br][b]Población A:[/b][br][br]Media [math]\text{(μ_A) = 920,000}[/math][br]Desviación estándar [math]\text{(σ_A ) = 31,500}[/math] [img width=93,height=16]file:///C:/Users/Usuario/AppData/Local/Temp/msohtmlclip1/01/clip_image004.png[/img][br]Muestra [math]\text{(n_A ) = 100}[/math][br][br][b]Población B:[/b][br][br]Media [math](μ_B)=925,000[/math][br]Desviación estándar [math](σ_B)=52,500[/math][br]Muestra [math](n_B)=100[/math][br][br] [br][b]Objetivo:[/b][br][br]Calcular [math]P((XˉB−XˉA)>12,510)[/math][br] [br][br][b]1. Media de la diferencia de medias:[br][/b][br][math]\text{μ_Δ =μ_B -μ_A =925,000-920,000=5,000}[/math][br][br][b][br]2. Desviación estándar de la diferencia de medias:[/b][br][br][img]data:image/png;base64,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[/img][br][br][b] [/b][br][b]3. Puntuación Z:[/b][br][br]Queremos [i]P[/i]([i]X[/i]ˉ[i]B[/i]−[i]X[/i]ˉ[i]A[/i]>12,510). La variable Z es:[br][br][br] [b]4. Buscar la probabilidad en la tabla Z:[/b][br][br][math]P(Z>1.227)=1−P(Z<1.227)[/math][br][br]Desde la tabla Z o una calculadora:[br][br][math]P(Z<1.227)=0.8907[/math][br][br]Por lo tanto,[br][br][math]P(Z>1.227)=1−0.8907=0.1093[/math][br][br]Y en porcentaje:[br][br][math]0.1093×100=10.93\%[/math][br][br][br][b]Respuesta.- [/b]La probabilidad de que la diferencia en las medias sea mayor a $12,510 en favor de B es aproximadamente [b]10.93%[/b].[br][br]
Ejercicio 2.
Ejercicio 2.
Cierto artefacto eléctrico tiene una vida promedio de 2.600 horas, con desviación típica de 200 horas; mientras que el mismo artefacto de fabricación extranjera tiene un promedio de duración de 2.400 horas, con desviación estándar de 180 horas. Si se toman dos muestras de 125 y 100 artefactos, respectivamente, ¿Cuál es la probabilidad de que la diferencia registrada entre las dos muestras sea superior en 150 horas?[br][br][b]Datos:[/b][br]Artefacto nacional:[br][i]μ[/i]1=2600 horas[br][i]σ[/i]1=200 horas[br][i]n[/i]1=125[br][br]Artefacto extranjero:[br][i]μ[/i]2=2400 horas[br][i]σ[/i]2=180 horas[br][i]n[/i]2=100[br][br]Queremos calcular la probabilidad de que la diferencia entre las promedios muestrales sea mayor en [b]150 horas[/b]. [br][br]Es decir, calcular [br][img]data:image/png;base64,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[/img].[b][br][br]Paso 1: [/b][b]Distribución de las medias muestrales[br][/b]Las medias muestrales son aproximadamente normales (por el teorema del límite central):[br][img]data:image/png;base64,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[/img][br][br]La diferencia de medias: [br][img]data:image/png;base64,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[/img]tiene distribución normal con:[img]data:image/png;base64,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[/img][b][br][br][br]Paso 2:[br]Calcular [i]σD[/i][/b][br][br][br][img]data:image/png;base64,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[/img][br][b][br][br]Paso 3:[/b][b]Estandarizar y calcular la probabilidad[br][br][/b]Queremos:[br][img]data:image/png;base64,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[/img][br][br]Por la simetría de la distribución normal:[br][img]data:image/png;base64,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[/img][br][br]Desde tablas de Z o una calculadora, [br][img]data:image/png;base64,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[/img][br][br]Por lo tanto:[br][img]data:image/png;base64,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[/img][br][br][b]Respuesta.- [/b]La probabilidad de que la diferencia sea mayor a 150 horas es aproximadamente 97,56%[br][br]
Bibliografía utilizada

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[/img]