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Atrucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following RouteA report an

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Atrucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following RouteA report an average of 48 minutes, with a standard deviation of5 minutes. Twenty truckers following Route B report an average of 53 minutes. with a standard deviation of 3 minutes. Histograms oftravel times for the routes are roughly symmetric and show no outliers. a) Find a 95% condence interval for the difference in the commuting time for the two routes. o) Does the result in part (a) provide sufcient evidence to conclude that the company will save time by always driving one ofthe routes? Explain. a) The 95% confidence interval for the difference in the commuting time for the two routes pB PA is (D minutes, |:| minutes}. [Round to two decimal places as needed.)

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