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Two competing parcel-delivery firms in a large city make conflicting claims about which one delivers parcels...

Two competing parcel-delivery firms in a large city make conflicting claims about which one delivers parcels in the shortest time. A random sample of 100 delivery times for the first company produces a sample mean of x1 = 37 minutes and a sample standard deviation of s1 = 10 minutes. A random sample of 100 delivery times for the second company produces a sample mean of x2 = 41 minutes and a sample standard deviation of s2 = 12 minutes. Conduct a hypothesis test to determine if the mean delivery time for the first company is less than that for the second company.

The null hypothesis is:

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