Homework Help is Here – Start Your Trial Now!
Math
Statistics
A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 49 minutes, with a standard deviation of 4 minutes. Twenty truckers following Route B report an average of 53 minutes, with a standard deviation of 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. a) Find a 95% confidence interval for the difference in the commuting time for the two routes. b) Does the result in part (a) provide sufficient evidence to conclude that the company will save time by always driving one of the routes? Explain. a) The 95% confidence interval for the difference in the commuting time for the two routes H- HA is (Round to two decimal places as needed.) C minutes, minutes).

A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 49 minutes, with a standard deviation of 4 minutes. Twenty truckers following Route B report an average of 53 minutes, with a standard deviation of 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. a) Find a 95% confidence interval for the difference in the commuting time for the two routes. b) Does the result in part (a) provide sufficient evidence to conclude that the company will save time by always driving one of the routes? Explain. a) The 95% confidence interval for the difference in the commuting time for the two routes H- HA is (Round to two decimal places as needed.) C minutes, minutes).

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 49 minutes, with a standard deviation of 4 minutes. Twenty truckers following Route B report an average of 53 minutes, with a standard deviation of 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. a) Find a 95% confidence interval for the difference in the commuting time for the two routes. b) Does the result in part (a) provide sufficient evidence to conclude that the company will save time by always driving one of the routes? Explain. -C a) The 95% confidence interval for the difference in the commuting time for the two routes HB - μA is ( minutes, (Round to two decimal places as needed.) minutes).
Transcribed Image Text:A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 49 minutes, with a standard deviation of 4 minutes. Twenty truckers following Route B report an average of 53 minutes, with a standard deviation of 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. a) Find a 95% confidence interval for the difference in the commuting time for the two routes. b) Does the result in part (a) provide sufficient evidence to conclude that the company will save time by always driving one of the routes? Explain. -C a) The 95% confidence interval for the difference in the commuting time for the two routes HB - μA is ( minutes, (Round to two decimal places as needed.) minutes).
Expert Solution
Step 1: Given Information

The random sample of size in route A, n subscript 1 equals 20

The random sample of size in route B, n subscript 2 equals 20

The average of the truckers in route A, top enclose x subscript 1 equals 49 minutes

The average of the truckers in route B, top enclose x subscript 2 equals 53 minutes

The standard deviation of the truckers in route A, s subscript 1 equals 4 minutes

The standard deviation of the truckers in route B, s subscript 2 equals 3 minutes


trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 18 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS