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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

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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 2 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 Hy - HA is (] minutes, minutes). (Round to two decimal places as needed.)

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