In: Statistics and Probability
Cholesterol levels for a group of women aged 50-59 follow an approximately normal distribution with mean 216.57 milligrams per deciliter (mg/dl). Medical guidelines state that women with cholesterol levels above 240 mg/dl are considered to have high cholesterol and about 29.6% of women fall into this category.
1. What is the Z-score that corresponds to the top 29.6% (or the 70.4-th percentile) of the standard normal distribution? Round your answer to three decimal places.
2. Find the standard deviation of the distribution in the situation stated above. Round your answer to 1 decimal place.