The quality-control manager at a light emitting  diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to 50,000 hours.  The population standard deviation is 1,500 hours. A random sample of 64 LEDs indicates a sample mean life of 49,875 hours. a. At the 0.05 level of significance, is there evidence that the mean  life is different from 50,000 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population

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The quality-control manager at a light emitting 

diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to 50,000 hours. 

The population standard deviation is 1,500 hours. A random sample of 64 LEDs indicates a sample mean life of 49,875 hours.
a. At the 0.05 level of significance, is there evidence that the mean 

life is different from 50,000 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population 

mean life of the LEDs. use the hypothesis testing steps

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