An Employee of the College Board Analyzes the Mathematics Section $\bar{x}$

Multiple Choice

An employee of the College Board analyzes the mathematics section of the SAT for 99 students and finds $\bar{x}$ = 31.3 and s = 12.8. She reports that a 99% confidence interval for the mean number of correct answers is (27.981, 34.619) . Does the interval (27.981, 34.619) cover the true mean?
Which of the following alternatives is the best answer for the above question?

A) Yes, (27.981, 34.619) covers the true mean
B) No, (27.981, 34.619) does not cover the true mean
C) We will never know whether (27.981, 34.619) covers the true mean.