The margin of error of pis

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 7.4 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 9.4 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.)
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 9.4 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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Pearson Addison Wesley,