2. Cholesterol levels for women in the 20-34 age group are approximately normall

Question

2. Cholesterol levels for women in the 20-34 age group are approximately normally distributed with 185 mg/dL and ?-39 mg/dL. (a) Cholesterol levels above 240 mg/dL demand medical attention. What percent of women in 20-34 age group do you expect to have such cholesterol levels? (Find the standardized score for the 240 mg/dL cutoff and sketch the area under the standard normal curve that represents the percentage of women in this age group with such cholesterol levels; then find the percentage.) (b) Cholesterol levels between 200 mg/dL and 240 mg/dL are considered borderline high for women in the 20-34 age group. What percent of women in this age group will have such cholesterol levels? (Find standardized scores for both cutoffs and sketch the area under the standard normal curve that represents this percentage; then find the percentage.) (c) What number will put a patient in the 15% with the lowest cholesterol level for this age group? What number will put a patient in the 500 with the most elevated cholesterol level for this age group? Sketch areas under the standard normal curve representing these percentages. (d) What are the median M and the quartiles Qi and Q3 of this distribution? (e) Find all the quintiles of this distribution. (f) Find the lowest and the highest (the first and the ninth) deciles of this distribution.

Explanation / Answer

a)The standard normal variable is given by z=(x-mean)/std deviation

given x=240

z=(240-185)/39

z=1.41

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