Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. The table Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. The table below shows the weights of seven subjects before and after following a particular diet for two months. below shows the weights of seven subjects before and after following a particular diet for two months.