Students at a local high school were randomly selected to participate in a math fluency program. The program is designed to increase their math fluency. A total of 12 students each took a pretest before the program and posttest after the program. The mean of the differences in the posttest and pretest scores is 13. The administration decided that all students in the school would participate in the program next school year. Let D denote the mean difference in the student scores. The 95 percent confidence interval estimate of the mean difference for all students is (8, 18). What is an appropriate interpretation of the confidence interval?

For any _D, the sample result is quite likely.

For any _D with 8 < _D < 18, the sample result is quite likely.

_D is positive, with a probability of 0.95.

_D is negative, with a probability of 0.95.

_D is between 8 and 18.