In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.3 minutes. A 90% confidence interval using the t-distribution was calculated to be (31.6,41.4). After researching commute times to work, it was found that the population standard deviation is 9.4 minutes. Find the margin of error and construct a 90% 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 µ is
In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.3 minutes. A 90% confidence interval using the t-distribution was calculated to be (31.6,41.4). After researching commute times to work, it was found that the population standard deviation is 9.4 minutes. Find the margin of error and construct a 90% 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 µ is
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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![In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.3 minutes. A 90% confidence interval using the
t-distribution was calculated to be (31.6,41.4). After researching commute times to work, it was found that the population standard deviation is 9.4 minutes. Find the
margin of error and construct a 90% 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa332979b-3709-48a2-942a-205e2ae2d053%2F1c732a60-2c23-498d-86e1-1fc7f5114179%2Fipauujh_processed.png&w=3840&q=75)
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 7.3 minutes. A 90% confidence interval using the
t-distribution was calculated to be (31.6,41.4). After researching commute times to work, it was found that the population standard deviation is 9.4 minutes. Find the
margin of error and construct a 90% 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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