The scores of 133 males and 162 females on a test that measures a person's feelings are shown in the table below. Your conjecture is the "the feelings" of males and females in the population are different. Run a hypothesis test to check this proposition.
Group Sample size x-bar Standard Deviation of the sample
Male 133 25.34 5.05
Female 182 24.94 5.44
A hypothesis is tested.