The mean score of a random sample of 22 students applicants who took the college entrance examination is calculated to be 76.9. The population standard deviation is known to be 27.4. Find the 99%...

The mean score of a random sample of 22 students applicants who took the college entrance examination is calculated to be 76.9. The population standard deviation is known to be 27.4. Find the 99% confidence interval for the mean of the entire student applicant.