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.) ←In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviationwas 7.3 minutes. A 98% confidence interval using the t-distribution was calculated to be (25.8,41.2). Afterresearching commute times to work, it was found that the population standard deviation is 8.6 minutes. Find themargin of error and construct a 98% confidence interval using the standard normal distribution with the appropriatecalculations for a standard deviation that is known. Compare the results.The margin of error of μ is.(Round to two decimal places as needed.)...Clear allCheck answer

Given,sample size, sample mean, standard deviation, 98% confidence interval using t-distribution is…

Answered: In a random sample of 8 people, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution