The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean ife of a large shipment of CFLS is equal to 7,476.hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sample mean ife of 7,226 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,476 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 7,476. hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sampie mean life of
7,226 hours.
a. At the 0.05 lovel of significance, is there evidence that the mean life is different from 7,476 hours?
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 resuits of (a) and (c). What conclusions do you reach?
a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,
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 7,476. hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sampie mean life of 7,226 hours. a. At the 0.05 lovel of significance, is there evidence that the mean life is different from 7,476 hours? 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 resuits of (a) and (c). What conclusions do you reach? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,
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