In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.7,41.3). After researching commute times to work, it was found that the population standard deviation is 8.9 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 7.33 (Round to two decimal places as needed.) A 98% confidence interval using the standard normal distribution is ( D. (Round to one decimal place as needed.) Compare the results. Choose the correct answer below. O A. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution. O B. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution. OC. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student's t-distribution. O D. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits.
In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.7,41.3). After researching commute times to work, it was found that the population standard deviation is 8.9 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 7.33 (Round to two decimal places as needed.) A 98% confidence interval using the standard normal distribution is ( D. (Round to one decimal place as needed.) Compare the results. Choose the correct answer below. O A. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution. O B. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution. OC. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student's t-distribution. O D. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits.
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 33.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the
t-distribution was calculated to be (25.7,41.3). After researching commute times to work, it was found that the population standard deviation is 8.9 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 7.33.
(Round to two decimal places as needed.)
A 98% confidence interval using the standard normal distribution is ( D
(Round to one decimal place as needed.)
Compare the results. Choose the correct answer below.
O A. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution.
O B. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution.
OC. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student's t-distribution.
O D. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits.
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