Calculate an approximate 99.7% confidence interval for the population mean age for government employee interns based on the following sample data: From a sample of 35 government employee interns, the sample mean age is 26.1 years. Assume the population standard deviation is 5.8 years. Assume the distribution of ages is normally distributed. Enter your answer in the format (lower,upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. Round your answers to two decimal places. Do not include units in your answers.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.