Mathematics: High-density lipoprotein (hdl) is sometimes called the good cholesterol because low values are associated with a higher risk of heart disease. according to the american heart association, people over the age of 20 years should have at least 40 mg/dl of hdl cholesterol. u.s. women aged 20 and over have a mean hdl of 55 mg/dl with a standard deviation of 15.5 mg/dl. assume that the distribution is normal. what percentage of women have low values of hdl? (40mg/ dl or less) (fill in the blank below

A= 1 or -5/3 that’s the answer...

High-density lipoprotein (hdl) is sometimes called

krishawnnn

09.01.2022

17% of women have low values of HDL

Step-by-step explanation:

We need to calculate the z-score of low HDL level in the distribution.

z score can be calculated using the formula

z= $\frac{X-M}{s}$ where

X is women's cut-off level for low HDL(40 mg/dL)M is the mean HDL for US women aged 20 and over (55 mg/dL)s is the standard deviation (15.5 mg/dL)

Putting these numbers in the formula, we get

z= $\frac{40-55.5}{15.5}$ = -0.9677

By looking the z table P(Z<−0.9677) =0.1666

Then, in order to find the corresponding percentile we compute:

100×0.1666 = 16.66% ≈ 17%

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