Patrick drives 12.8 miles to work each day. His route to work each day involves one stoplight and very little traffic. His route home each day involves the same stoplight and very little traffic. However, Patrick has noticed that his drive home is often quicker than his drive to work. Patrick decides to collect data to determine if his drive time to work is longer than his drive time home. He recorded the drive time to work on 13 randomly selected days and his drive time to home on 15 randomly selected days. After convincing himself that the conditions for inference were reasonable, he performed a two-sample t-test and obtained the following computer output.Sample N Mean St. Dev SE Mean To work 13 15.34 3.00 0.83 To home 15 13.89 4.52 1.2