A College Admissions Officer Takes a Simple Random Sample of 90

Multiple Choice

A college admissions officer takes a simple random sample of 90 entering freshmen and computes their mean mathematics SAT score to be 436 . Assume the population standard deviation is $\sigma = 101$ .

Based on a $99 \%$ confidence interval for the mean mathematics SAT score, is it likely that the mean mathematics SAT score for entering freshmen class is greater than 460 ? (Hint: you should first construct the $99 \%$ confidence interval for the mean mathematics SAT score.)

A) The likelihood cannot be determined.
B) Yes
C) No