A researcher collected sample data for 14 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 189.5, with a standard deviation of 9.1. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Give 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.
Lower limit: _____
Upper limit: _____
