In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.8,41.2). After to work, it was found that the population standard deviation is 8.6 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a s known. Compare the results. The margin of error of u is. (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 the same as the confidence interval found using the student's t-distribution. O B. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution. OC. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits. O D. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution.
In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.8,41.2). After to work, it was found that the population standard deviation is 8.6 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a s known. Compare the results. The margin of error of u is. (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 the same as the confidence interval found using the student's t-distribution. O B. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student's t-distribution. OC. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits. O D. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student's t-distribution.
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 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.8, 41.2). After researching commute times to work, it was found that the population standard deviation is 8.6 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 □.
(Round to two decimal places as needed.)
A 98% confidence interval using the standard normal distribution is (□□․□□,□□․□□).
(Round to one decimal place as needed.)
Compare the results. Choose the correct answer below.
- A. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student’s t-distribution.
- B. The confidence interval found using the standard normal distribution is narrower than the confidence interval found using the student’s t-distribution.
- C. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits.
- D. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the student’s t-distribution.
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