Cholesterol levels for a group of women aged 30-39 follow anapproximately normal distribution with mean 190.14 milligrams perdeciliter (mg/dl). Medical guidelines state that women withcholesterol levels above 240 mg/dl are considered to have highcholesterol and about 9.3% of women fall into this category.
1. What is the Z-score that corresponds to thetop 9.3% (or the 90.7-th percentile) of the standard normaldistribution? Round your answer to three decimal places.
2. Find the standard deviation of thedistribution in the situation stated above. Round your answer to 1decimal place.