A cognitive psychologist is curious as to why women tend to physically turn a map's position to agree with the direction they are moving, while men tend to keep the map in its original position and mentally change orientations as they move. She wonders if there is a sex difference in ability to mentally rotate objects. She devises a computerized experiment in which she times correct responses to a mental visual rotation task at a given angle. Here are the times, in seconds, for 15 men and 15 women. Conduct a one-tailed t test at the .01 a level. Are men able to mentally rotate objects significantly faster than women?
Men Women
0.25........................................ 0.29
0.27........................................ 0.30
0.23........................................ 0.25
0.24........................................ 0.23
0.22........................................ 0.22
0.28........................................ 0.26
0.23........................................ 0.33
0.22........................................ 0.27
0.24........................................ 0.29
0.28........................................ 0.26
0.22........................................ 0.29
0.21........................................ 0.27
0.23........................................ 0.22
0.23........................................ 0.29
0.20........................................ 0.25