Find the Requested Confidence Interval $37,14,21,20$ , 23 Assuming $\sigma = 7.84$

Multiple Choice

Find the requested confidence interval.
-A college statistics professor has office hours from 9:00 A.M. to 10:30 A.M. daily. A sample of waiting times to see the professor (in minutes) is 10, 12, 20, 15, 17, 10, 30, 28, 35, 28, 19, 27, 25, 22, 33, $37,14,21,20$ , 23. Assuming $\sigma = 7.84$ , find the $95.44 \%$ confidence interval for the population mean.

A) $18.8$ to $25.8$ minutes
B) $- 3.5$ to $3.5$ minutes
C) $- 7.7$ to $7.8$ minutes
D) $19.5$ to $35.1$ minutes