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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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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).
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