The serum cholesterol levels are normally for males ages 20 to 74 living in the

Question

The serum cholesterol levels are normally for males ages 20 to 74 living in the united states is 221 mg/100ml with a standard deviation of 36 mg/100ml.

a) a male between the ages of 20 and 74 is said to have high cholesterol if his serum levels are higher than 90% of the males between the ages of 20 and 74. What is the minimum cholestrol level, in mg/100ml, a male between the ages of 20 ad 74 could have in order to have a high cholesterol level?

b) A male between the ages of 20 and 74 is said to have moderatley low cholesterol if his serum levels are higher than 25% OF THE MALES BETWEEN THE AGES OF 20 AND 74. What is the maximum cholestrol level, in mg/100ml, a male between the ages of 20 and 74 could have in order to have a moderatley low cholestrol level?

Explanation / Answer

a) for 90th percentile corresponding z score =1.28

threfore  minimum cholestrol level, in mg/100ml, a male between the ages of 20 ad 74 could have in order to have a high cholesterol level =mean +z*std deviaiton =221+1.28*36=267.08

b)

at 25th percentile ; crtiical z =-0.67

hence corresponding cholestrol level =mean +z*std deviaiton =221-0.67*36=196.88

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