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.
Five students took a math test before and after tutoring. Their scores were as follows.
Subject A B C D E
Before 71 66 75 78 66
After 75 75 73 81 78
Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.