Final answer:
The most appropriate t-test in this scenario would be a test of matched pairs. In a test of matched pairs, the same group of subjects is measured at two different times or under two different conditions. To conduct the test of matched pairs, the differences between the pretest and posttest scores are calculated and a t-test for a single population mean with n - 1 degrees of freedom is used to test the null hypothesis.
Step-by-step explanation:
The most appropriate t-test in this scenario would be a test of matched pairs. In a test of matched pairs, the same group of subjects is measured at two different times or under two different conditions. In this case, the pretest and posttest scores of the students can be compared to determine if there is a significant difference after using the new math textbook.
To conduct the test of matched pairs, the differences between the pretest and posttest scores are calculated. Then, a t-test for a single population mean with n - 1 degrees of freedom is used to test the null hypothesis that the mean difference is zero.