A trucking company would like to compare two different routes for efficiency. Tr

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 43 minutes, with a standard deviation of 5 minutes. Twenty truckers following Route B report an average of 47 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) Will the company save time by always driving one of the routes? Explain. D D a) The 95% confidence interval for the difference in the commuting time in minutes for the two routes ??-uA is Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
(without pooled variances)

95% confidence interval results:

Hence,

95% confidence interval will be:

(1.34, 6.66)

Difference Sample Diff. Std. Err. DF L. Limit U. Limit ?1 - ?2 4 1.3038405 31.110482 1.3411825 6.6588175

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