Find the Confidence Interval Specified $\sigma = 14.5$ Construct A Interval

Multiple Choice

Find the confidence interval specified.
-30 students were randomly selected from a large group of students taking a certain calculus test. The mean score for the students in the sample was 78. Assume that $\sigma = 14.5$ . Construct a $99 \%$ confidence interval for the mean score, $\mu$ , of all students taking the test.

A) $73.50$ to $82.50$
B) $71.21$ to $84.79$
C) $71.18$ to $84.82$
D) $71.48$ to $84.52$