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 7,537 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,387 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,537 hours? a. Let μ be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: μ= H1: 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.
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 7,537 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,387 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,537 hours? a. Let μ be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: μ= H1: 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
Section10.4: Distributions Of Data
Problem 19PFA
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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 7,537 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of
7,387 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,537 hours?
a. Let
μ
be the population mean. Determine the null hypothesis,
H0,
and the alternative hypothesis,
H1.
H0:
μ=
H1:
b. Compute the p-value and interpret its meaning.
c. Construct a
interval estimate of the population mean life of the light bulbs.
95%
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