A sample of 12 cigarette brands is selected and the total nicotine contents (in %) in the sample are listed below: 16.0 10.5 11.4 11.0 10.7 11.3 17.8 13.9 13.4 12.6 13.2 15.4 Assume that the total nicotine contents are normal distributed and let u be the mean total nicotine content of all cigarette brands. (a) Find the best point estimate of μ and the maximum error associated with this estimate using 95% confidence level. (b) Construct a 90% confidence interval for μ and summarize it in words.

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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A sample of 12 cigarette brands is selected and the total nicotine contents (in
%) in the sample are listed below:
12.6 13.2
15.4
16.0 10.5 11.4 11.0 10.7 11.3 17.8 13.9 13.4
Assume that the total nicotine contents are normal distributed and let u be the mean
total nicotine content of all cigarette brands.
(a) Find the best point estimate of μ and the maximum error associated with this
estimate using 95% confidence level.
(b) Construct a 90% confidence interval for μ and summarize it in words.
Transcribed Image Text:A sample of 12 cigarette brands is selected and the total nicotine contents (in %) in the sample are listed below: 12.6 13.2 15.4 16.0 10.5 11.4 11.0 10.7 11.3 17.8 13.9 13.4 Assume that the total nicotine contents are normal distributed and let u be the mean total nicotine content of all cigarette brands. (a) Find the best point estimate of μ and the maximum error associated with this estimate using 95% confidence level. (b) Construct a 90% confidence interval for μ and summarize it in words.
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