In a random sample of 8 people, the mean commute time to work was 35.5 mill 7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (27.7,43.3). After researching commute times to work, it was found that the population standard deviation is 8.8 minutes. Find the margin of error and construct a 98% 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 7.24 (Round to two decimal places as needed.) *** A 98% confidence interval using the standard normal distribution is (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was
7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (27.7,43.3). After researching
commute times to work, it was found that the population standard deviation is 8.8 minutes. Find the margin of error
and construct a 98% 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 7.24.
(Round to two decimal places as needed.)
***
A 98% confidence interval using the standard normal distribution is
(Round to one decimal place as needed.)
Transcribed Image Text:In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (27.7,43.3). After researching commute times to work, it was found that the population standard deviation is 8.8 minutes. Find the margin of error and construct a 98% 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 7.24. (Round to two decimal places as needed.) *** A 98% confidence interval using the standard normal distribution is (Round to one decimal place as needed.)
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