A company is investigating how long it takes its drivers to deliver goods from its factory to

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A company is investigating how long it takes its drivers to deliver goods from its factory to a nearby port for export. Records reveal that with a standard specified driving route, the last n = 48 delivery times have a sample mean of  = 432.7 minutes and a sample standard deviation of sx = 20.39 minutes. A new driving route is proposed, and this has been tried m = 10 times with a sample mean of = 403.5 minutes and a sample standard deviation of sy = 15.62 minutes. What is the evidence that the new route is quicker on average than the standard route?
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