The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7550 hours. The population standard deviation is 1,120 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,214 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7550 hours. The population standard deviation is 1,120 hours. A random sample of
64 light bulbs indicates a sample mean life of 7,214 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
d. Compare the results of (a) and (c). What conclusions do you reach?
e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours.
.....
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7550 hours. The population standard deviation is 1,120 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,214 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 1,400 hours. .....
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