A random sample of 18 BP customers used an average of 16.1 gallons to fill their vehicle with a sample standard deviation of 5.4 gallons. Determine the margin of error at 5% and 1% significance levels.

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 1GP
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4. A random sample of 18 BP customers used an average of 16.1 gallons to fill their vehicle with a
sample standard deviation of 5.4 gallons. Determine the margin of error at 5% and 1%
significance levels.
5. The U.S. Department of Transportation would like to estimate the proportion of drivers that are
not insured in North Carolina. A pilot sample of 60 drivers from North Carolina found 18 were
uninsured. Determine the total sample size needed to construct a 99% confidence interval for the
proportion of uninsured drivers in North Carolina with a margin of error equal to 3%.
Transcribed Image Text:4. A random sample of 18 BP customers used an average of 16.1 gallons to fill their vehicle with a sample standard deviation of 5.4 gallons. Determine the margin of error at 5% and 1% significance levels. 5. The U.S. Department of Transportation would like to estimate the proportion of drivers that are not insured in North Carolina. A pilot sample of 60 drivers from North Carolina found 18 were uninsured. Determine the total sample size needed to construct a 99% confidence interval for the proportion of uninsured drivers in North Carolina with a margin of error equal to 3%.
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