In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 95% confidence interval using the t-distribution was calculated to be (30.3,42.7). After researching commute times to work, it was found that the population standard deviation is 9.5 minutes. Find the margin of error and construct a 95% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of u is (Round to two decimal places as needed.)
In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 95% confidence interval using the t-distribution was calculated to be (30.3,42.7). After researching commute times to work, it was found that the population standard deviation is 9.5 minutes. Find the margin of error and construct a 95% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of u is (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 95% confidence interval using the
t-distribution was calculated to be (30.3,42.7). After researching commute times to work, it was found that the population standard deviation is 9.5 minutes. Find the
margin of error and construct a 95% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known.
Compare the results.
The margin of error of u is.
(Round to two decimal places as needed.)
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