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 µA denote the mean score of the posttest and µB denote the mean score of the pretest for all students in the school. The 95 percent confidence interval estimate of the true mean difference for all students is (8, 18). What is an appropriate interpretation of the confidence interval?

A. For any µA and µB with (µA – µB) ≥ 12, the sample result is quite likely.

B. For any µA and µB with 8 < (µA – µB) < 18, the sample result is quite likely.

C. µA is greater than µB, with a probability of 0.95.

D. µA is less than µB, with a probability of 0.95.

E. µA is approximately 18 and µB is approximately