Find the Requested Confidence Interval $10 : 30$ AM Daily a Sample of Waiting Times to See the Professor

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 $99.74 \%$ confidence interval for the population mean.

A) $18.8$ to $25.8$ minutes
B) $19.5$ to $35.1$ minutes
C) $17.05$ to $27.55$ minutes
D) $20.55$ to $24.05$ minutes