1 The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours. a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. b. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400 hours? Explain. c. Suppose that the standard deviation changes to 80 hours. What are your answers in (a) and (b)?
1 The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours. a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. b. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400 hours? Explain. c. Suppose that the standard deviation changes to 80 hours. What are your answers in (a) and (b)?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1
The quality control manager at a light bulb factory needs to estimate the mean life of a large
shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs
indicated a sample mean life of 350 hours.
a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in
this shipment.
b. Do you think that the manufacturer has the right to state that the light bulbs have a mean
life of 400 hours? Explain.
c. Suppose that the standard deviation changes to 80 hours. What are your answers in (a) and
(b)?
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