A researcher collected sample data for 18 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.9, with a standard deviation of 6. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 99% confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)

Lower limit: $_____

Upper limit: $_____