In a random sample of five people, the mean driving distance to work was 20.5 miles and the standard deviation was 6.8 miles. Assuming the population is normally distributed and using the t-distribution, a 95% confidence interval for the population mean u is (12.1, 28.9) (and the margin of error is 8.4). Through research, it has been found that the population standard deviation of driving distances to work is 7.7. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 95% confidence interval for the population mean μ. Interpret and compare the results. Identify the margin of error. ☐ ▼ (Round to one decimal place as needed.)
In a random sample of five people, the mean driving distance to work was 20.5 miles and the standard deviation was 6.8 miles. Assuming the population is normally distributed and using the t-distribution, a 95% confidence interval for the population mean u is (12.1, 28.9) (and the margin of error is 8.4). Through research, it has been found that the population standard deviation of driving distances to work is 7.7. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 95% confidence interval for the population mean μ. Interpret and compare the results. Identify the margin of error. ☐ ▼ (Round to one decimal place as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:In a random sample of five people, the mean driving distance to work was 20.5 miles and the standard deviation was 6.8 miles. Assuming the population is normally distributed and using the t-distribution, a 95% confidence interval for the
population mean µ is (12.1, 28.9) (and the margin of error is 8.4). Through research, it has been found that the population standard deviation of driving distances to work is 7.7. Using the standard normal distribution with the appropriate
calculations for a standard deviation that is known, find the margin of error and construct a 95% confidence interval for the population mean μ. Interpret and compare the results.
Identify the margin of error.
(Round to one decimal place as needed.)
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