Find the Confidence Interval Specified $\bar { x }$ , on an Aptitude Test for a Random Sample of x

Multiple Choice

Find the confidence interval specified.
-The mean score, $\bar { x }$ , on an aptitude test for a random sample of 3 students was 65 . Assuming that $\sigma = 14$ , construct a $95.44 \%$ confidence interval for the mean score, $\mu$ , of all students taking the test.

A) $52.9$ to $77.1$
B) 37 to 93
C) $55.7$ to $74.3$
D) $48.8$ to $81.2$