Five students took a math test before and after tutoring. their

Five students took a math test before and after tutoring. Their scores were as follows.

A B C D E

Befor 77 69 66 72 69

After 81 78 64 75 81

Using a 0.01 level of significance, test the claim that the tutoring improves the math scores. 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. Identify the null hypothesis, alternative hypothesis,

test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.