A researcher collected sample data for 14 women ages 18 to 24. The sample had a more serum cholesterol level (measured in mg/100 ml) of 193, with a standard deviation of 75. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 90% 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 90% confidence interval Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a stof formulas)