Question: Suppose that in Problem 9.14, the standard deviation is 500 hours. a. Repeat (a) through (d) of Problem 9.14, assuming a standard deviation of 500

Suppose that in Problem 9.14, the standard deviation is 500 hours.

a. Repeat (a) through (d) of Problem 9.14, assuming a standard deviation of 500 hours.

b. Compare the results of (a) to those of Problem 9.14.

In Problem

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.

d. Compare the results of (a) and (c). What conclusions do you reach?

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