Answer to Question #42549 in Statistics and Probability for taria

Question

A town-planning sub-committee in Tshwane wanted to know if there is any difference in the mean travelling time to work of car and Train commuters. They there carried out a survey amongst car and bus commuters and with the following sample statistics:
Car Commuters
Train Commuters
X1= 29.6 min
X2 = 25.2 min
S1= 5.2 min
S2= 2.8 min
N1=22 drivers
N2=36 passengers
4.1 Test the hypothesis at the 5% significance level that it takes car commuters to get to work earlier than Train commuters.