A College Admissions Officer Takes a Simple Random Sample of 100

Multiple Choice

A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 459 . Assume the population standard deviation is $\sigma=103$ .
Construct a $99 \%$ confidence interval for the mean mathematics SAT score for the enterin! freshmen class.

A) $456<\mu<462$
B) $356<\mu<562$
C) $434<\mu<484$
D) $432<\mu<$