To determine whether car ownership affects a student’s academic achievement, random samples of 100 car owners and 100 nonowners were drawn from the student body. The grade point average for the 100 1 n 5 nonowners had an average and variance equal to 2.70 1 x 5 and .36, 1 s2 5 while 2.54 2 x 5 and .40 2 s2 5 for the 100 2 n 5 car owners. Do the data present sufficient evidence to indicate a difference in the mean achievements between car owners and nonowners? Test using a 5.05.