In a random sample of 27 people, the mean commute time to work was 31.5 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is (). (Round to one decimal place as needed.)

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 14PPS
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In a random sample of 27 people, the mean commute time to work was 31.5 minutes and the standard deviation was
7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 99% confidence
interval for the population mean μ. What is the margin of error of μ? Interpret the results.
The confidence interval for the population mean u is
(Round to one decimal place as needed.)
Transcribed Image Text:In a random sample of 27 people, the mean commute time to work was 31.5 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean u is (Round to one decimal place as needed.)
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