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La calibracin de una bscula tiene que ser verificada pesando 25 veces un espcimen de prueba de
12kg. Suponga que los resultados de diferentes pesadas son independientes entre s y que el peso
en cada ensayo est normalmente distribuido con =0.200kg. Sea la lectura de peso promedio
verdadero en la bscula. (a) Qu hiptesis deber ponerse a prueba?
H0:=12Ha:=12H0:=12Ha:<12H0:=12Ha:=12H0:=12Ha:>12H0:=12Ha:<12 (b) Con la media
muestral m como el estadstico de prueba, cul es el valor de P cuando x=11.82? ? Qu concluira en
el nivel de significacin 0.01 ? Concluya que el verdadero peso medio medido difiere de 12kg.
Concluya que el verdadero peso medio medido es el mismo que 12kg. (c) Para una prueba con
=0.01, icul es la probabilidad de que la recalibracin se considere innecesaria cuando en realidad
=12.2 ? Para una prueba con =0.01, cul es la probabilidad de que la recalibracin se considere
innecesaria cuando en realidad =11.9 ?

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Calibración báscula prueba peso 12kg P=0.01

  • 1. La calibracin de una bscula tiene que ser verificada pesando 25 veces un espcimen de prueba de 12kg. Suponga que los resultados de diferentes pesadas son independientes entre s y que el peso en cada ensayo est normalmente distribuido con =0.200kg. Sea la lectura de peso promedio verdadero en la bscula. (a) Qu hiptesis deber ponerse a prueba? H0:=12Ha:=12H0:=12Ha:<12H0:=12Ha:=12H0:=12Ha:>12H0:=12Ha:<12 (b) Con la media muestral m como el estadstico de prueba, cul es el valor de P cuando x=11.82? ? Qu concluira en el nivel de significacin 0.01 ? Concluya que el verdadero peso medio medido difiere de 12kg. Concluya que el verdadero peso medio medido es el mismo que 12kg. (c) Para una prueba con =0.01, icul es la probabilidad de que la recalibracin se considere innecesaria cuando en realidad =12.2 ? Para una prueba con =0.01, cul es la probabilidad de que la recalibracin se considere innecesaria cuando en realidad =11.9 ?