EXAMEN FINAL ESTADISICA CEIPA
1.En la muestra se calculan medidas numéricas que permiten estimar la característica de una población. Una medida que permite inferir el valor poblacional a partir de la muestra es:
A. Estadística
B. Variable
C. Error
D. Parámetro
2.Diez bolas numeradas se meten en una urna. Los números 1 al 4 son bolas de color rojo y los números del 5 al 10 son bolas de color azul. ¿Cuál es la probabilidad de que una bola extraída aleatoriamente sea de color azul?
RESPUESTAS:
A. 0.1
B. 1
C. 0.6
D. 0.4
3.Es una propiedad de un experimento binomial:
A. La probabilidad de una ocurrencia es igual en dos intervalos idénticos
B. Es simétrico
C. Consiste en una sucesión de n ensayos diferentes
D. En cada ensayo son posibles dos resultados
4.Una variable aleatoria Poisson se define como
A. Número de fracasos antes de ocurrir el primer éxito
B. Número de ensayos independientes de Bernoulli necesarios para alcanzar k éxitos
C. Número de veces que ocurre un suceso en la unidad de tiempo, volumen o espacio.
D. Número de éxitos en n pruebas independientes de Bernoulli
5.Usted responde un examen al azar. La probabilidad de responder correctamente una pregunta que tiene 5 opciones, de las cuales dos son correctas es
A. 2/5
B. 1/5
C. 1
D. 1/2
6.La probabilidad de que las ventas de vivienda se incrementen en los próximos seis meses es de 0.25. La probabilidad de que la tasa de interés para préstamos hipotecarios suba en el mismo periodo se estima en 0.74. La probabilidad de que las ventas de vivienda o las tasas de interés suban en los próximos seis meses se estima en 0.89.
La probabilidad de que las ventas de vivienda y las tasas de interés se incrementen en los próximos seis meses es
A. 0.10
B. 0.705
C. 0.90
D. 0.185
7.La cantidad de tiempo necesario para que unos trabajadores de una línea de ensamblaje fabriquen un producto es una variable aleatoria normal con una media de 15 minutos y una desviación estándar de 2 minutos. De esta manera, el 70% de los productos serán ensamblados en menos de
A. 17 minutos
B. 16.04 minutos
C. 15 minutos
D. Ninguna de las alternativas
8.En la prueba de hipótesis sobre la vida media de una población Ho: Media es menor o igual a 70 años contra H1: Media >70 años se utilizó una muestra aleatoria de tamaño 100 con media de 71.8 años. Sabiendo que Z=2.02 y que Z 0.05= 1.645, debemos:
A. Rechazar Ho y concluir que la vida media es menor de 70 años
B. No rechazar Ho y concluir que la vida media es de 70 años
C. Rechazar Ho y concluir que la vida media es mayor de 70 años
D. No rechazar Ho y concluir que la vida media no es de 70 años
9.Cuantos Kleenex debería contener un paquete? Un grupo de investigadores determinó que durante un resfriado se utilizan en promedio 60 Kleenex. Suponga que una muestra aleatoria de 100 usuarios de Kleenex produjo los siguientes datos durante un resfriado: media muestral igual a 52 y desviación estandar muestral igual a 22.
Suponga que el estadístico de prueba cae en la zona de rechazo con un nivel de significancia igual a 0.05. Cuál de las siguientes decisiones es correcta?
A. Con un nivel de significancia de 0.10 no rechazamos H0
B. Con un nivel de significancia de 0.05 no rechazamos H0
C. Con un nivel de significancia de 0.05 aceptamos H0
D. Con un nivel de significancia de 0.05 rechazamos H0
10.Cuantos Kleenex debería contener un paquete? Un grupo de investigadores determinó que durante un resfriado se utilizan en promedio 60 Kleenex. Suponga que una muestra aleatoria de 100 usuarios de Kleenex produjo los siguientes datos durante un resfriado: media muestral igual a 52 y desviación estándar muestral igual a 22.
Suponga que el estadístico de la prueba cae en la zona de rechazo con un nivel de significancia igual a 0.05 . Cuál de las siguientes conclusiones es correcta?
A. Con un nivel de significancia de 0.10 existe suficiente evidencia para concluir que el número medio de Kleenex utilizado durante un resfriado no es 60.
B. Con un nivel de significancia de 0.05 existe suficiente evidencia para concluir que el número medio de Kleenex utilizado durante un resfriado es 60.
C. Con un nivel de significancia de 0.05 no existe suficiente evidencia para concluir que el número medio de Kleenex utilizado durante un resfriado es 60.
D. Con un nivel de significancia de 0.05 no existe suficiente evidencia para concluir que el número medio de Kleenex utilizado durante un resfriado no es 60.
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