Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu. Assume that the population has a normal distribution.
Thirty randomly selected students took the calculus final. If the sample mean was 83 and the standard deviation was 13.5, construct a 99% confidence interval for the mean score of all students.
Options:
76.21 < mu < 89.79
76.23 < mu < 89.77
76.93 < mu < 89.07
78.81 < mu < 87.19