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 7,492 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,469 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,492 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.

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 7,492 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,469 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,492 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

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Part 1

a. Let

be the population mean. Determine the null hypothesis,

H0,

and the alternative hypothesis,

H1.

H0:

μ=enter your response here

H1:

μ≠enter your response here

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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